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Finding the Third Proportional to 55,145.25 and 82,497.75

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Solution

The third proportional to 55,145.25 and 82,497.75 is: 123,417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,145.25 : 82,497.75 = 82,497.75 : x
  2. Step 2: Convert to fraction form
    55,145.25/82,497.75 = 82,497.75/x
  3. Step 3: Cross multiply
    55,145.25x = 82,497.75 × 82,497.75
  4. Step 4: Simplify right side
    55,145.25x = 6,805,878,755.06
  5. Step 5: Solve for x
    x = 6,805,878,755.06/55,145.25
  6. Step 6: Final answer
    x = 123,417.32

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Why These Related Problems?

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