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Finding the Third Proportional to 76,347 and 171,459

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Solution

The third proportional to 76,347 and 171,459 is: 385,060.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,347 : 171,459 = 171,459 : x
  2. Step 2: Convert to fraction form
    76,347/171,459 = 171,459/x
  3. Step 3: Cross multiply
    76,347x = 171,459 × 171,459
  4. Step 4: Simplify right side
    76,347x = 29,398,188,681
  5. Step 5: Solve for x
    x = 29,398,188,681/76,347
  6. Step 6: Final answer
    x = 385,060.17

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.