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Finding the Third Proportional to 82,167 and 124,143

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Solution

The third proportional to 82,167 and 124,143 is: 187,562.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,167 : 124,143 = 124,143 : x
  2. Step 2: Convert to fraction form
    82,167/124,143 = 124,143/x
  3. Step 3: Cross multiply
    82,167x = 124,143 × 124,143
  4. Step 4: Simplify right side
    82,167x = 15,411,484,449
  5. Step 5: Solve for x
    x = 15,411,484,449/82,167
  6. Step 6: Final answer
    x = 187,562.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.