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Finding the Third Proportional to 62,989 and 97,525

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Solution

The third proportional to 62,989 and 97,525 is: 150,996.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,989 : 97,525 = 97,525 : x
  2. Step 2: Convert to fraction form
    62,989/97,525 = 97,525/x
  3. Step 3: Cross multiply
    62,989x = 97,525 × 97,525
  4. Step 4: Simplify right side
    62,989x = 9,511,125,625
  5. Step 5: Solve for x
    x = 9,511,125,625/62,989
  6. Step 6: Final answer
    x = 150,996.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.