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Finding the Third Proportional to 52,293.75 and 80,011.13

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Solution

The third proportional to 52,293.75 and 80,011.13 is: 122,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,293.75 : 80,011.13 = 80,011.13 : x
  2. Step 2: Convert to fraction form
    52,293.75/80,011.13 = 80,011.13/x
  3. Step 3: Cross multiply
    52,293.75x = 80,011.13 × 80,011.13
  4. Step 4: Simplify right side
    52,293.75x = 6,401,780,123.77
  5. Step 5: Solve for x
    x = 6,401,780,123.77/52,293.75
  6. Step 6: Final answer
    x = 122,419.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.