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Finding the Third Proportional to 61,149 and 94,512

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Solution

The third proportional to 61,149 and 94,512 is: 146,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,149 : 94,512 = 94,512 : x
  2. Step 2: Convert to fraction form
    61,149/94,512 = 94,512/x
  3. Step 3: Cross multiply
    61,149x = 94,512 × 94,512
  4. Step 4: Simplify right side
    61,149x = 8,932,518,144
  5. Step 5: Solve for x
    x = 8,932,518,144/61,149
  6. Step 6: Final answer
    x = 146,077.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.