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Finding the Third Proportional to 70,125.75 and 108,766.13

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Solution

The third proportional to 70,125.75 and 108,766.13 is: 168,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,125.75 : 108,766.13 = 108,766.13 : x
  2. Step 2: Convert to fraction form
    70,125.75/108,766.13 = 108,766.13/x
  3. Step 3: Cross multiply
    70,125.75x = 108,766.13 × 108,766.13
  4. Step 4: Simplify right side
    70,125.75x = 11,830,069,947.52
  5. Step 5: Solve for x
    x = 11,830,069,947.52/70,125.75
  6. Step 6: Final answer
    x = 168,697.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.