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Finding the Third Proportional to 61,186 and 94,115

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Solution

The third proportional to 61,186 and 94,115 is: 144,765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,186 : 94,115 = 94,115 : x
  2. Step 2: Convert to fraction form
    61,186/94,115 = 94,115/x
  3. Step 3: Cross multiply
    61,186x = 94,115 × 94,115
  4. Step 4: Simplify right side
    61,186x = 8,857,633,225
  5. Step 5: Solve for x
    x = 8,857,633,225/61,186
  6. Step 6: Final answer
    x = 144,765.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.