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Finding the Third Proportional to 82,502.25 and 128,680.88

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Solution

The third proportional to 82,502.25 and 128,680.88 is: 200,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,502.25 : 128,680.88 = 128,680.88 : x
  2. Step 2: Convert to fraction form
    82,502.25/128,680.88 = 128,680.88/x
  3. Step 3: Cross multiply
    82,502.25x = 128,680.88 × 128,680.88
  4. Step 4: Simplify right side
    82,502.25x = 16,558,767,590.77
  5. Step 5: Solve for x
    x = 16,558,767,590.77/82,502.25
  6. Step 6: Final answer
    x = 200,706.86

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.