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Finding the Third Proportional to 83,073.75 and 125,602.13

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Solution

The third proportional to 83,073.75 and 125,602.13 is: 189,902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,073.75 : 125,602.13 = 125,602.13 : x
  2. Step 2: Convert to fraction form
    83,073.75/125,602.13 = 125,602.13/x
  3. Step 3: Cross multiply
    83,073.75x = 125,602.13 × 125,602.13
  4. Step 4: Simplify right side
    83,073.75x = 15,775,893,804.52
  5. Step 5: Solve for x
    x = 15,775,893,804.52/83,073.75
  6. Step 6: Final answer
    x = 189,902.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.