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Finding the Third Proportional to 60,500 and 96,099

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Solution

The third proportional to 60,500 and 96,099 is: 152,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,500 : 96,099 = 96,099 : x
  2. Step 2: Convert to fraction form
    60,500/96,099 = 96,099/x
  3. Step 3: Cross multiply
    60,500x = 96,099 × 96,099
  4. Step 4: Simplify right side
    60,500x = 9,235,017,801
  5. Step 5: Solve for x
    x = 9,235,017,801/60,500
  6. Step 6: Final answer
    x = 152,644.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.