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Finding the Third Proportional to 74,152.50 and 159,969

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Solution

The third proportional to 74,152.50 and 159,969 is: 345,100.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,152.50 : 159,969 = 159,969 : x
  2. Step 2: Convert to fraction form
    74,152.50/159,969 = 159,969/x
  3. Step 3: Cross multiply
    74,152.50x = 159,969 × 159,969
  4. Step 4: Simplify right side
    74,152.50x = 25,590,080,961
  5. Step 5: Solve for x
    x = 25,590,080,961/74,152.50
  6. Step 6: Final answer
    x = 345,100.72

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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.