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Finding the Third Proportional to 52,908.19 and 71,776.13

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Solution

The third proportional to 52,908.19 and 71,776.13 is: 97,372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,908.19 : 71,776.13 = 71,776.13 : x
  2. Step 2: Convert to fraction form
    52,908.19/71,776.13 = 71,776.13/x
  3. Step 3: Cross multiply
    52,908.19x = 71,776.13 × 71,776.13
  4. Step 4: Simplify right side
    52,908.19x = 5,151,812,120.02
  5. Step 5: Solve for x
    x = 5,151,812,120.02/52,908.19
  6. Step 6: Final answer
    x = 97,372.68

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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.