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Finding the Third Proportional to 48,292 and 71,926

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Solution

The third proportional to 48,292 and 71,926 is: 107,126.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,292 : 71,926 = 71,926 : x
  2. Step 2: Convert to fraction form
    48,292/71,926 = 71,926/x
  3. Step 3: Cross multiply
    48,292x = 71,926 × 71,926
  4. Step 4: Simplify right side
    48,292x = 5,173,349,476
  5. Step 5: Solve for x
    x = 5,173,349,476/48,292
  6. Step 6: Final answer
    x = 107,126.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.