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Finding the Third Proportional to 115,987 and 247,166

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Solution

The third proportional to 115,987 and 247,166 is: 526,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,987 : 247,166 = 247,166 : x
  2. Step 2: Convert to fraction form
    115,987/247,166 = 247,166/x
  3. Step 3: Cross multiply
    115,987x = 247,166 × 247,166
  4. Step 4: Simplify right side
    115,987x = 61,091,031,556
  5. Step 5: Solve for x
    x = 61,091,031,556/115,987
  6. Step 6: Final answer
    x = 526,705.85

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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.