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Finding the Third Proportional to 63,409 and 94,939

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Solution

The third proportional to 63,409 and 94,939 is: 142,147.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,409 : 94,939 = 94,939 : x
  2. Step 2: Convert to fraction form
    63,409/94,939 = 94,939/x
  3. Step 3: Cross multiply
    63,409x = 94,939 × 94,939
  4. Step 4: Simplify right side
    63,409x = 9,013,413,721
  5. Step 5: Solve for x
    x = 9,013,413,721/63,409
  6. Step 6: Final answer
    x = 142,147.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.