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Finding the Third Proportional to 100,863 and 148,374

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Solution

The third proportional to 100,863 and 148,374 is: 218,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,863 : 148,374 = 148,374 : x
  2. Step 2: Convert to fraction form
    100,863/148,374 = 148,374/x
  3. Step 3: Cross multiply
    100,863x = 148,374 × 148,374
  4. Step 4: Simplify right side
    100,863x = 22,014,843,876
  5. Step 5: Solve for x
    x = 22,014,843,876/100,863
  6. Step 6: Final answer
    x = 218,264.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.