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Finding the Third Proportional to 83,637 and 178,776

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Solution

The third proportional to 83,637 and 178,776 is: 382,137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,637 : 178,776 = 178,776 : x
  2. Step 2: Convert to fraction form
    83,637/178,776 = 178,776/x
  3. Step 3: Cross multiply
    83,637x = 178,776 × 178,776
  4. Step 4: Simplify right side
    83,637x = 31,960,858,176
  5. Step 5: Solve for x
    x = 31,960,858,176/83,637
  6. Step 6: Final answer
    x = 382,137.79

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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.