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Finding the Third Proportional to 63,117 and 94,125

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Solution

The third proportional to 63,117 and 94,125 is: 140,366.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,117 : 94,125 = 94,125 : x
  2. Step 2: Convert to fraction form
    63,117/94,125 = 94,125/x
  3. Step 3: Cross multiply
    63,117x = 94,125 × 94,125
  4. Step 4: Simplify right side
    63,117x = 8,859,515,625
  5. Step 5: Solve for x
    x = 8,859,515,625/63,117
  6. Step 6: Final answer
    x = 140,366.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.