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Finding the Third Proportional to 52,706.74 and 81,523.55

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Solution

The third proportional to 52,706.74 and 81,523.55 is: 126,095.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,706.74 : 81,523.55 = 81,523.55 : x
  2. Step 2: Convert to fraction form
    52,706.74/81,523.55 = 81,523.55/x
  3. Step 3: Cross multiply
    52,706.74x = 81,523.55 × 81,523.55
  4. Step 4: Simplify right side
    52,706.74x = 6,646,088,695.08
  5. Step 5: Solve for x
    x = 6,646,088,695.08/52,706.74
  6. Step 6: Final answer
    x = 126,095.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.