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Finding the Third Proportional to 74,152.88 and 159,969.75

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Solution

The third proportional to 74,152.88 and 159,969.75 is: 345,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,152.88 : 159,969.75 = 159,969.75 : x
  2. Step 2: Convert to fraction form
    74,152.88/159,969.75 = 159,969.75/x
  3. Step 3: Cross multiply
    74,152.88x = 159,969.75 × 159,969.75
  4. Step 4: Simplify right side
    74,152.88x = 25,590,320,915.06
  5. Step 5: Solve for x
    x = 25,590,320,915.06/74,152.88
  6. Step 6: Final answer
    x = 345,102.21

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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.