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Finding the Third Proportional to 82,125 and 177,363

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Solution

The third proportional to 82,125 and 177,363 is: 383,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,125 : 177,363 = 177,363 : x
  2. Step 2: Convert to fraction form
    82,125/177,363 = 177,363/x
  3. Step 3: Cross multiply
    82,125x = 177,363 × 177,363
  4. Step 4: Simplify right side
    82,125x = 31,457,633,769
  5. Step 5: Solve for x
    x = 31,457,633,769/82,125
  6. Step 6: Final answer
    x = 383,045.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.