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Finding the Third Proportional to 68,827.50 and 92,873.25

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Solution

The third proportional to 68,827.50 and 92,873.25 is: 125,319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,827.50 : 92,873.25 = 92,873.25 : x
  2. Step 2: Convert to fraction form
    68,827.50/92,873.25 = 92,873.25/x
  3. Step 3: Cross multiply
    68,827.50x = 92,873.25 × 92,873.25
  4. Step 4: Simplify right side
    68,827.50x = 8,625,440,565.56
  5. Step 5: Solve for x
    x = 8,625,440,565.56/68,827.50
  6. Step 6: Final answer
    x = 125,319.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.