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Finding the Third Proportional to 92,823.75 and 139,439.25

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Solution

The third proportional to 92,823.75 and 139,439.25 is: 209,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,823.75 : 139,439.25 = 139,439.25 : x
  2. Step 2: Convert to fraction form
    92,823.75/139,439.25 = 139,439.25/x
  3. Step 3: Cross multiply
    92,823.75x = 139,439.25 × 139,439.25
  4. Step 4: Simplify right side
    92,823.75x = 19,443,304,440.56
  5. Step 5: Solve for x
    x = 19,443,304,440.56/92,823.75
  6. Step 6: Final answer
    x = 209,464.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.