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Finding the Third Proportional to 58,215 and 127,327

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Solution

The third proportional to 58,215 and 127,327 is: 278,487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,215 : 127,327 = 127,327 : x
  2. Step 2: Convert to fraction form
    58,215/127,327 = 127,327/x
  3. Step 3: Cross multiply
    58,215x = 127,327 × 127,327
  4. Step 4: Simplify right side
    58,215x = 16,212,164,929
  5. Step 5: Solve for x
    x = 16,212,164,929/58,215
  6. Step 6: Final answer
    x = 278,487.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.