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Finding the Third Proportional to 51,186.50 and 78,966.50

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Solution

The third proportional to 51,186.50 and 78,966.50 is: 121,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,186.50 : 78,966.50 = 78,966.50 : x
  2. Step 2: Convert to fraction form
    51,186.50/78,966.50 = 78,966.50/x
  3. Step 3: Cross multiply
    51,186.50x = 78,966.50 × 78,966.50
  4. Step 4: Simplify right side
    51,186.50x = 6,235,708,122.25
  5. Step 5: Solve for x
    x = 6,235,708,122.25/51,186.50
  6. Step 6: Final answer
    x = 121,823.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.