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Finding the Third Proportional to 74,468 and 159,448

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Solution

The third proportional to 74,468 and 159,448 is: 341,403.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,468 : 159,448 = 159,448 : x
  2. Step 2: Convert to fraction form
    74,468/159,448 = 159,448/x
  3. Step 3: Cross multiply
    74,468x = 159,448 × 159,448
  4. Step 4: Simplify right side
    74,468x = 25,423,664,704
  5. Step 5: Solve for x
    x = 25,423,664,704/74,468
  6. Step 6: Final answer
    x = 341,403.89

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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.