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Finding the Third Proportional to 54,320.25 and 73,095.75

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Solution

The third proportional to 54,320.25 and 73,095.75 is: 98,360.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,320.25 : 73,095.75 = 73,095.75 : x
  2. Step 2: Convert to fraction form
    54,320.25/73,095.75 = 73,095.75/x
  3. Step 3: Cross multiply
    54,320.25x = 73,095.75 × 73,095.75
  4. Step 4: Simplify right side
    54,320.25x = 5,342,988,668.06
  5. Step 5: Solve for x
    x = 5,342,988,668.06/54,320.25
  6. Step 6: Final answer
    x = 98,360.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.