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Finding the Third Proportional to 61,252 and 86,250

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Solution

The third proportional to 61,252 and 86,250 is: 121,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,252 : 86,250 = 86,250 : x
  2. Step 2: Convert to fraction form
    61,252/86,250 = 86,250/x
  3. Step 3: Cross multiply
    61,252x = 86,250 × 86,250
  4. Step 4: Simplify right side
    61,252x = 7,439,062,500
  5. Step 5: Solve for x
    x = 7,439,062,500/61,252
  6. Step 6: Final answer
    x = 121,450.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.