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Finding the Third Proportional to 71,073 and 153,081

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Solution

The third proportional to 71,073 and 153,081 is: 329,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,073 : 153,081 = 153,081 : x
  2. Step 2: Convert to fraction form
    71,073/153,081 = 153,081/x
  3. Step 3: Cross multiply
    71,073x = 153,081 × 153,081
  4. Step 4: Simplify right side
    71,073x = 23,433,792,561
  5. Step 5: Solve for x
    x = 23,433,792,561/71,073
  6. Step 6: Final answer
    x = 329,714.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.