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Finding the Third Proportional to 71,255 and 153,931

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Solution

The third proportional to 71,255 and 153,931 is: 332,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,255 : 153,931 = 153,931 : x
  2. Step 2: Convert to fraction form
    71,255/153,931 = 153,931/x
  3. Step 3: Cross multiply
    71,255x = 153,931 × 153,931
  4. Step 4: Simplify right side
    71,255x = 23,694,752,761
  5. Step 5: Solve for x
    x = 23,694,752,761/71,255
  6. Step 6: Final answer
    x = 332,534.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.