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Finding the Third Proportional to 56,273 and 87,107

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Solution

The third proportional to 56,273 and 87,107 is: 134,836.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,273 : 87,107 = 87,107 : x
  2. Step 2: Convert to fraction form
    56,273/87,107 = 87,107/x
  3. Step 3: Cross multiply
    56,273x = 87,107 × 87,107
  4. Step 4: Simplify right side
    56,273x = 7,587,629,449
  5. Step 5: Solve for x
    x = 7,587,629,449/56,273
  6. Step 6: Final answer
    x = 134,836.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.