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Finding the Third Proportional to 115,993 and 247,169

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Solution

The third proportional to 115,993 and 247,169 is: 526,691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,993 : 247,169 = 247,169 : x
  2. Step 2: Convert to fraction form
    115,993/247,169 = 247,169/x
  3. Step 3: Cross multiply
    115,993x = 247,169 × 247,169
  4. Step 4: Simplify right side
    115,993x = 61,092,514,561
  5. Step 5: Solve for x
    x = 61,092,514,561/115,993
  6. Step 6: Final answer
    x = 526,691.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.