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Finding the Third Proportional to 61,919 and 95,668

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Solution

The third proportional to 61,919 and 95,668 is: 147,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,919 : 95,668 = 95,668 : x
  2. Step 2: Convert to fraction form
    61,919/95,668 = 95,668/x
  3. Step 3: Cross multiply
    61,919x = 95,668 × 95,668
  4. Step 4: Simplify right side
    61,919x = 9,152,366,224
  5. Step 5: Solve for x
    x = 9,152,366,224/61,919
  6. Step 6: Final answer
    x = 147,811.92

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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.