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Finding the Third Proportional to 71,924 and 159,566

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Solution

The third proportional to 71,924 and 159,566 is: 354,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,924 : 159,566 = 159,566 : x
  2. Step 2: Convert to fraction form
    71,924/159,566 = 159,566/x
  3. Step 3: Cross multiply
    71,924x = 159,566 × 159,566
  4. Step 4: Simplify right side
    71,924x = 25,461,308,356
  5. Step 5: Solve for x
    x = 25,461,308,356/71,924
  6. Step 6: Final answer
    x = 354,002.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.