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Finding the Third Proportional to 92,643.75 and 125,842.78

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Solution

The third proportional to 92,643.75 and 125,842.78 is: 170,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,643.75 : 125,842.78 = 125,842.78 : x
  2. Step 2: Convert to fraction form
    92,643.75/125,842.78 = 125,842.78/x
  3. Step 3: Cross multiply
    92,643.75x = 125,842.78 × 125,842.78
  4. Step 4: Simplify right side
    92,643.75x = 15,836,405,592.74
  5. Step 5: Solve for x
    x = 15,836,405,592.74/92,643.75
  6. Step 6: Final answer
    x = 170,938.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.