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Finding the Third Proportional to 85,880.25 and 129,762

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Solution

The third proportional to 85,880.25 and 129,762 is: 196,065.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,880.25 : 129,762 = 129,762 : x
  2. Step 2: Convert to fraction form
    85,880.25/129,762 = 129,762/x
  3. Step 3: Cross multiply
    85,880.25x = 129,762 × 129,762
  4. Step 4: Simplify right side
    85,880.25x = 16,838,176,644
  5. Step 5: Solve for x
    x = 16,838,176,644/85,880.25
  6. Step 6: Final answer
    x = 196,065.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.