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Finding the Third Proportional to 83,592 and 176,526

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Solution

The third proportional to 83,592 and 176,526 is: 372,780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,592 : 176,526 = 176,526 : x
  2. Step 2: Convert to fraction form
    83,592/176,526 = 176,526/x
  3. Step 3: Cross multiply
    83,592x = 176,526 × 176,526
  4. Step 4: Simplify right side
    83,592x = 31,161,428,676
  5. Step 5: Solve for x
    x = 31,161,428,676/83,592
  6. Step 6: Final answer
    x = 372,780.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.