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Finding the Third Proportional to 74,076.19 and 160,000.31

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Solution

The third proportional to 74,076.19 and 160,000.31 is: 345,591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,076.19 : 160,000.31 = 160,000.31 : x
  2. Step 2: Convert to fraction form
    74,076.19/160,000.31 = 160,000.31/x
  3. Step 3: Cross multiply
    74,076.19x = 160,000.31 × 160,000.31
  4. Step 4: Simplify right side
    74,076.19x = 25,600,100,000.10
  5. Step 5: Solve for x
    x = 25,600,100,000.10/74,076.19
  6. Step 6: Final answer
    x = 345,591.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.