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Finding the Third Proportional to 51,592.25 and 77,151.02

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Solution

The third proportional to 51,592.25 and 77,151.02 is: 115,371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,592.25 : 77,151.02 = 77,151.02 : x
  2. Step 2: Convert to fraction form
    51,592.25/77,151.02 = 77,151.02/x
  3. Step 3: Cross multiply
    51,592.25x = 77,151.02 × 77,151.02
  4. Step 4: Simplify right side
    51,592.25x = 5,952,280,417.45
  5. Step 5: Solve for x
    x = 5,952,280,417.45/51,592.25
  6. Step 6: Final answer
    x = 115,371.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.