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Finding the Third Proportional to 63,580 and 96,189

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Solution

The third proportional to 63,580 and 96,189 is: 145,522.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,580 : 96,189 = 96,189 : x
  2. Step 2: Convert to fraction form
    63,580/96,189 = 96,189/x
  3. Step 3: Cross multiply
    63,580x = 96,189 × 96,189
  4. Step 4: Simplify right side
    63,580x = 9,252,323,721
  5. Step 5: Solve for x
    x = 9,252,323,721/63,580
  6. Step 6: Final answer
    x = 145,522.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.