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Finding the Third Proportional to 108,292 and 162,438

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Solution

The third proportional to 108,292 and 162,438 is: 243,657

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,292 : 162,438 = 162,438 : x
  2. Step 2: Convert to fraction form
    108,292/162,438 = 162,438/x
  3. Step 3: Cross multiply
    108,292x = 162,438 × 162,438
  4. Step 4: Simplify right side
    108,292x = 26,386,103,844
  5. Step 5: Solve for x
    x = 26,386,103,844/108,292
  6. Step 6: Final answer
    x = 243,657

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.