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Finding the Third Proportional to 107,256 and 141,042

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Solution

The third proportional to 107,256 and 141,042 is: 185,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,256 : 141,042 = 141,042 : x
  2. Step 2: Convert to fraction form
    107,256/141,042 = 141,042/x
  3. Step 3: Cross multiply
    107,256x = 141,042 × 141,042
  4. Step 4: Simplify right side
    107,256x = 19,892,845,764
  5. Step 5: Solve for x
    x = 19,892,845,764/107,256
  6. Step 6: Final answer
    x = 185,470.70

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.