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Finding the Third Proportional to 126,327 and 270,159

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Solution

The third proportional to 126,327 and 270,159 is: 577,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,327 : 270,159 = 270,159 : x
  2. Step 2: Convert to fraction form
    126,327/270,159 = 270,159/x
  3. Step 3: Cross multiply
    126,327x = 270,159 × 270,159
  4. Step 4: Simplify right side
    126,327x = 72,985,885,281
  5. Step 5: Solve for x
    x = 72,985,885,281/126,327
  6. Step 6: Final answer
    x = 577,753.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.