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Finding the Third Proportional to 82,732.50 and 116,565.75

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Solution

The third proportional to 82,732.50 and 116,565.75 is: 164,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,732.50 : 116,565.75 = 116,565.75 : x
  2. Step 2: Convert to fraction form
    82,732.50/116,565.75 = 116,565.75/x
  3. Step 3: Cross multiply
    82,732.50x = 116,565.75 × 116,565.75
  4. Step 4: Simplify right side
    82,732.50x = 13,587,574,073.06
  5. Step 5: Solve for x
    x = 13,587,574,073.06/82,732.50
  6. Step 6: Final answer
    x = 164,235.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.