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Finding the Third Proportional to 84,750 and 185,781

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Solution

The third proportional to 84,750 and 185,781 is: 407,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,750 : 185,781 = 185,781 : x
  2. Step 2: Convert to fraction form
    84,750/185,781 = 185,781/x
  3. Step 3: Cross multiply
    84,750x = 185,781 × 185,781
  4. Step 4: Simplify right side
    84,750x = 34,514,579,961
  5. Step 5: Solve for x
    x = 34,514,579,961/84,750
  6. Step 6: Final answer
    x = 407,251.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.