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Finding the Third Proportional to 83,127 and 183,747

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Solution

The third proportional to 83,127 and 183,747 is: 406,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,127 : 183,747 = 183,747 : x
  2. Step 2: Convert to fraction form
    83,127/183,747 = 183,747/x
  3. Step 3: Cross multiply
    83,127x = 183,747 × 183,747
  4. Step 4: Simplify right side
    83,127x = 33,762,960,009
  5. Step 5: Solve for x
    x = 33,762,960,009/83,127
  6. Step 6: Final answer
    x = 406,161.18

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.