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Finding the Third Proportional to 100,734 and 148,317

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Solution

The third proportional to 100,734 and 148,317 is: 218,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,734 : 148,317 = 148,317 : x
  2. Step 2: Convert to fraction form
    100,734/148,317 = 148,317/x
  3. Step 3: Cross multiply
    100,734x = 148,317 × 148,317
  4. Step 4: Simplify right side
    100,734x = 21,997,932,489
  5. Step 5: Solve for x
    x = 21,997,932,489/100,734
  6. Step 6: Final answer
    x = 218,376.44

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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.