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Finding the Third Proportional to 82,948.22 and 125,101.97

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Solution

The third proportional to 82,948.22 and 125,101.97 is: 188,677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,948.22 : 125,101.97 = 125,101.97 : x
  2. Step 2: Convert to fraction form
    82,948.22/125,101.97 = 125,101.97/x
  3. Step 3: Cross multiply
    82,948.22x = 125,101.97 × 125,101.97
  4. Step 4: Simplify right side
    82,948.22x = 15,650,502,585.13
  5. Step 5: Solve for x
    x = 15,650,502,585.13/82,948.22
  6. Step 6: Final answer
    x = 188,677.98

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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.