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Finding the Third Proportional to 55,358.25 and 85,952.25

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Solution

The third proportional to 55,358.25 and 85,952.25 is: 133,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,358.25 : 85,952.25 = 85,952.25 : x
  2. Step 2: Convert to fraction form
    55,358.25/85,952.25 = 85,952.25/x
  3. Step 3: Cross multiply
    55,358.25x = 85,952.25 × 85,952.25
  4. Step 4: Simplify right side
    55,358.25x = 7,387,789,280.06
  5. Step 5: Solve for x
    x = 7,387,789,280.06/55,358.25
  6. Step 6: Final answer
    x = 133,454.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.