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Finding the Third Proportional to 52,532.25 and 80,337.75

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Solution

The third proportional to 52,532.25 and 80,337.75 is: 122,860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,532.25 : 80,337.75 = 80,337.75 : x
  2. Step 2: Convert to fraction form
    52,532.25/80,337.75 = 80,337.75/x
  3. Step 3: Cross multiply
    52,532.25x = 80,337.75 × 80,337.75
  4. Step 4: Simplify right side
    52,532.25x = 6,454,154,075.06
  5. Step 5: Solve for x
    x = 6,454,154,075.06/52,532.25
  6. Step 6: Final answer
    x = 122,860.80

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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.