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Finding the Third Proportional to 83,070 and 124,272

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Solution

The third proportional to 83,070 and 124,272 is: 185,909.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,070 : 124,272 = 124,272 : x
  2. Step 2: Convert to fraction form
    83,070/124,272 = 124,272/x
  3. Step 3: Cross multiply
    83,070x = 124,272 × 124,272
  4. Step 4: Simplify right side
    83,070x = 15,443,529,984
  5. Step 5: Solve for x
    x = 15,443,529,984/83,070
  6. Step 6: Final answer
    x = 185,909.83

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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.