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Finding the Third Proportional to 54,065.25 and 83,146.50

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Solution

The third proportional to 54,065.25 and 83,146.50 is: 127,870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,065.25 : 83,146.50 = 83,146.50 : x
  2. Step 2: Convert to fraction form
    54,065.25/83,146.50 = 83,146.50/x
  3. Step 3: Cross multiply
    54,065.25x = 83,146.50 × 83,146.50
  4. Step 4: Simplify right side
    54,065.25x = 6,913,340,462.25
  5. Step 5: Solve for x
    x = 6,913,340,462.25/54,065.25
  6. Step 6: Final answer
    x = 127,870.31

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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.