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Finding the Third Proportional to 89,139 and 185,750

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Solution

The third proportional to 89,139 and 185,750 is: 387,070.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,139 : 185,750 = 185,750 : x
  2. Step 2: Convert to fraction form
    89,139/185,750 = 185,750/x
  3. Step 3: Cross multiply
    89,139x = 185,750 × 185,750
  4. Step 4: Simplify right side
    89,139x = 34,503,062,500
  5. Step 5: Solve for x
    x = 34,503,062,500/89,139
  6. Step 6: Final answer
    x = 387,070.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.