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Finding the Third Proportional to 52,900 and 71,810

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Solution

The third proportional to 52,900 and 71,810 is: 97,479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,900 : 71,810 = 71,810 : x
  2. Step 2: Convert to fraction form
    52,900/71,810 = 71,810/x
  3. Step 3: Cross multiply
    52,900x = 71,810 × 71,810
  4. Step 4: Simplify right side
    52,900x = 5,156,676,100
  5. Step 5: Solve for x
    x = 5,156,676,100/52,900
  6. Step 6: Final answer
    x = 97,479.70

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.