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Finding the Third Proportional to 116,750 and 185,115

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Solution

The third proportional to 116,750 and 185,115 is: 293,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,750 : 185,115 = 185,115 : x
  2. Step 2: Convert to fraction form
    116,750/185,115 = 185,115/x
  3. Step 3: Cross multiply
    116,750x = 185,115 × 185,115
  4. Step 4: Simplify right side
    116,750x = 34,267,563,225
  5. Step 5: Solve for x
    x = 34,267,563,225/116,750
  6. Step 6: Final answer
    x = 293,512.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.