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Finding the Third Proportional to 51,071.25 and 78,760.50

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Solution

The third proportional to 51,071.25 and 78,760.50 is: 121,462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,071.25 : 78,760.50 = 78,760.50 : x
  2. Step 2: Convert to fraction form
    51,071.25/78,760.50 = 78,760.50/x
  3. Step 3: Cross multiply
    51,071.25x = 78,760.50 × 78,760.50
  4. Step 4: Simplify right side
    51,071.25x = 6,203,216,360.25
  5. Step 5: Solve for x
    x = 6,203,216,360.25/51,071.25
  6. Step 6: Final answer
    x = 121,462.00

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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.