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Finding the Third Proportional to 52,697.25 and 80,989.88

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Solution

The third proportional to 52,697.25 and 80,989.88 is: 124,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,697.25 : 80,989.88 = 80,989.88 : x
  2. Step 2: Convert to fraction form
    52,697.25/80,989.88 = 80,989.88/x
  3. Step 3: Cross multiply
    52,697.25x = 80,989.88 × 80,989.88
  4. Step 4: Simplify right side
    52,697.25x = 6,559,359,852.52
  5. Step 5: Solve for x
    x = 6,559,359,852.52/52,697.25
  6. Step 6: Final answer
    x = 124,472.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.