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Finding the Third Proportional to 61,918 and 95,667

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Solution

The third proportional to 61,918 and 95,667 is: 147,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,918 : 95,667 = 95,667 : x
  2. Step 2: Convert to fraction form
    61,918/95,667 = 95,667/x
  3. Step 3: Cross multiply
    61,918x = 95,667 × 95,667
  4. Step 4: Simplify right side
    61,918x = 9,152,174,889
  5. Step 5: Solve for x
    x = 9,152,174,889/61,918
  6. Step 6: Final answer
    x = 147,811.22

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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.