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Finding the Third Proportional to 52,687 and 114,122

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Solution

The third proportional to 52,687 and 114,122 is: 247,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,687 : 114,122 = 114,122 : x
  2. Step 2: Convert to fraction form
    52,687/114,122 = 114,122/x
  3. Step 3: Cross multiply
    52,687x = 114,122 × 114,122
  4. Step 4: Simplify right side
    52,687x = 13,023,830,884
  5. Step 5: Solve for x
    x = 13,023,830,884/52,687
  6. Step 6: Final answer
    x = 247,192.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.