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Finding the Third Proportional to 52,250.50 and 80,931.75

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Solution

The third proportional to 52,250.50 and 80,931.75 is: 125,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,250.50 : 80,931.75 = 80,931.75 : x
  2. Step 2: Convert to fraction form
    52,250.50/80,931.75 = 80,931.75/x
  3. Step 3: Cross multiply
    52,250.50x = 80,931.75 × 80,931.75
  4. Step 4: Simplify right side
    52,250.50x = 6,549,948,158.06
  5. Step 5: Solve for x
    x = 6,549,948,158.06/52,250.50
  6. Step 6: Final answer
    x = 125,356.66

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