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Finding the Third Proportional to 62,241 and 95,669

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Solution

The third proportional to 62,241 and 95,669 is: 147,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,241 : 95,669 = 95,669 : x
  2. Step 2: Convert to fraction form
    62,241/95,669 = 95,669/x
  3. Step 3: Cross multiply
    62,241x = 95,669 × 95,669
  4. Step 4: Simplify right side
    62,241x = 9,152,557,561
  5. Step 5: Solve for x
    x = 9,152,557,561/62,241
  6. Step 6: Final answer
    x = 147,050.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.