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Finding the Third Proportional to 113,761.97 and 153,146.95

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Solution

The third proportional to 113,761.97 and 153,146.95 is: 206,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,761.97 : 153,146.95 = 153,146.95 : x
  2. Step 2: Convert to fraction form
    113,761.97/153,146.95 = 153,146.95/x
  3. Step 3: Cross multiply
    113,761.97x = 153,146.95 × 153,146.95
  4. Step 4: Simplify right side
    113,761.97x = 23,453,989,251.47
  5. Step 5: Solve for x
    x = 23,453,989,251.47/113,761.97
  6. Step 6: Final answer
    x = 206,167.22

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.