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Finding the Third Proportional to 61,189 and 94,078

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Solution

The third proportional to 61,189 and 94,078 is: 144,644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,189 : 94,078 = 94,078 : x
  2. Step 2: Convert to fraction form
    61,189/94,078 = 94,078/x
  3. Step 3: Cross multiply
    61,189x = 94,078 × 94,078
  4. Step 4: Simplify right side
    61,189x = 8,850,670,084
  5. Step 5: Solve for x
    x = 8,850,670,084/61,189
  6. Step 6: Final answer
    x = 144,644.79

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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.