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Finding the Third Proportional to 54,248.50 and 82,137.75

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Solution

The third proportional to 54,248.50 and 82,137.75 is: 124,364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,248.50 : 82,137.75 = 82,137.75 : x
  2. Step 2: Convert to fraction form
    54,248.50/82,137.75 = 82,137.75/x
  3. Step 3: Cross multiply
    54,248.50x = 82,137.75 × 82,137.75
  4. Step 4: Simplify right side
    54,248.50x = 6,746,609,975.06
  5. Step 5: Solve for x
    x = 6,746,609,975.06/54,248.50
  6. Step 6: Final answer
    x = 124,364.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.