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Finding the Third Proportional to 87,037 and 185,454

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Solution

The third proportional to 87,037 and 185,454 is: 395,155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,037 : 185,454 = 185,454 : x
  2. Step 2: Convert to fraction form
    87,037/185,454 = 185,454/x
  3. Step 3: Cross multiply
    87,037x = 185,454 × 185,454
  4. Step 4: Simplify right side
    87,037x = 34,393,186,116
  5. Step 5: Solve for x
    x = 34,393,186,116/87,037
  6. Step 6: Final answer
    x = 395,155.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.