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Finding the Third Proportional to 52,320.94 and 81,217.69

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Solution

The third proportional to 52,320.94 and 81,217.69 is: 126,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,320.94 : 81,217.69 = 81,217.69 : x
  2. Step 2: Convert to fraction form
    52,320.94/81,217.69 = 81,217.69/x
  3. Step 3: Cross multiply
    52,320.94x = 81,217.69 × 81,217.69
  4. Step 4: Simplify right side
    52,320.94x = 6,596,312,762.85
  5. Step 5: Solve for x
    x = 6,596,312,762.85/52,320.94
  6. Step 6: Final answer
    x = 126,074.06

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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.