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Finding the Third Proportional to 71,254 and 153,926

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Solution

The third proportional to 71,254 and 153,926 is: 332,517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,254 : 153,926 = 153,926 : x
  2. Step 2: Convert to fraction form
    71,254/153,926 = 153,926/x
  3. Step 3: Cross multiply
    71,254x = 153,926 × 153,926
  4. Step 4: Simplify right side
    71,254x = 23,693,213,476
  5. Step 5: Solve for x
    x = 23,693,213,476/71,254
  6. Step 6: Final answer
    x = 332,517.66

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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.