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Finding the Third Proportional to 61,644 and 95,078

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Solution

The third proportional to 61,644 and 95,078 is: 146,645.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,644 : 95,078 = 95,078 : x
  2. Step 2: Convert to fraction form
    61,644/95,078 = 95,078/x
  3. Step 3: Cross multiply
    61,644x = 95,078 × 95,078
  4. Step 4: Simplify right side
    61,644x = 9,039,826,084
  5. Step 5: Solve for x
    x = 9,039,826,084/61,644
  6. Step 6: Final answer
    x = 146,645.68

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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.