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Finding the Third Proportional to 84,281 and 181,070

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Solution

The third proportional to 84,281 and 181,070 is: 389,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,281 : 181,070 = 181,070 : x
  2. Step 2: Convert to fraction form
    84,281/181,070 = 181,070/x
  3. Step 3: Cross multiply
    84,281x = 181,070 × 181,070
  4. Step 4: Simplify right side
    84,281x = 32,786,344,900
  5. Step 5: Solve for x
    x = 32,786,344,900/84,281
  6. Step 6: Final answer
    x = 389,012.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.