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Finding the Third Proportional to 116,565.75 and 147,862.13

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Solution

The third proportional to 116,565.75 and 147,862.13 is: 187,561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,565.75 : 147,862.13 = 147,862.13 : x
  2. Step 2: Convert to fraction form
    116,565.75/147,862.13 = 147,862.13/x
  3. Step 3: Cross multiply
    116,565.75x = 147,862.13 × 147,862.13
  4. Step 4: Simplify right side
    116,565.75x = 21,863,208,009.52
  5. Step 5: Solve for x
    x = 21,863,208,009.52/116,565.75
  6. Step 6: Final answer
    x = 187,561.17

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.