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Finding the Third Proportional to 52,852.50 and 78,868.69

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Solution

The third proportional to 52,852.50 and 78,868.69 is: 117,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,852.50 : 78,868.69 = 78,868.69 : x
  2. Step 2: Convert to fraction form
    52,852.50/78,868.69 = 78,868.69/x
  3. Step 3: Cross multiply
    52,852.50x = 78,868.69 × 78,868.69
  4. Step 4: Simplify right side
    52,852.50x = 6,220,269,867.97
  5. Step 5: Solve for x
    x = 6,220,269,867.97/52,852.50
  6. Step 6: Final answer
    x = 117,691.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.