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Finding the Third Proportional to 45,151 and 98,687

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Solution

The third proportional to 45,151 and 98,687 is: 215,701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,151 : 98,687 = 98,687 : x
  2. Step 2: Convert to fraction form
    45,151/98,687 = 98,687/x
  3. Step 3: Cross multiply
    45,151x = 98,687 × 98,687
  4. Step 4: Simplify right side
    45,151x = 9,739,123,969
  5. Step 5: Solve for x
    x = 9,739,123,969/45,151
  6. Step 6: Final answer
    x = 215,701.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.