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Finding the Third Proportional to 92,679.75 and 147,827.25

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Solution

The third proportional to 92,679.75 and 147,827.25 is: 235,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,679.75 : 147,827.25 = 147,827.25 : x
  2. Step 2: Convert to fraction form
    92,679.75/147,827.25 = 147,827.25/x
  3. Step 3: Cross multiply
    92,679.75x = 147,827.25 × 147,827.25
  4. Step 4: Simplify right side
    92,679.75x = 21,852,895,842.56
  5. Step 5: Solve for x
    x = 21,852,895,842.56/92,679.75
  6. Step 6: Final answer
    x = 235,789.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.