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Finding the Third Proportional to 74,940 and 160,564

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Solution

The third proportional to 74,940 and 160,564 is: 344,019.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,940 : 160,564 = 160,564 : x
  2. Step 2: Convert to fraction form
    74,940/160,564 = 160,564/x
  3. Step 3: Cross multiply
    74,940x = 160,564 × 160,564
  4. Step 4: Simplify right side
    74,940x = 25,780,798,096
  5. Step 5: Solve for x
    x = 25,780,798,096/74,940
  6. Step 6: Final answer
    x = 344,019.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.