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Finding the Third Proportional to 71,358 and 152,560

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Solution

The third proportional to 71,358 and 152,560 is: 326,166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,358 : 152,560 = 152,560 : x
  2. Step 2: Convert to fraction form
    71,358/152,560 = 152,560/x
  3. Step 3: Cross multiply
    71,358x = 152,560 × 152,560
  4. Step 4: Simplify right side
    71,358x = 23,274,553,600
  5. Step 5: Solve for x
    x = 23,274,553,600/71,358
  6. Step 6: Final answer
    x = 326,166.00

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