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Finding the Third Proportional to 84,730 and 181,692

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Solution

The third proportional to 84,730 and 181,692 is: 389,613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,730 : 181,692 = 181,692 : x
  2. Step 2: Convert to fraction form
    84,730/181,692 = 181,692/x
  3. Step 3: Cross multiply
    84,730x = 181,692 × 181,692
  4. Step 4: Simplify right side
    84,730x = 33,011,982,864
  5. Step 5: Solve for x
    x = 33,011,982,864/84,730
  6. Step 6: Final answer
    x = 389,613.87

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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.