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Finding the Third Proportional to 54,404.16 and 83,216.53

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Solution

The third proportional to 54,404.16 and 83,216.53 is: 127,287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,404.16 : 83,216.53 = 83,216.53 : x
  2. Step 2: Convert to fraction form
    54,404.16/83,216.53 = 83,216.53/x
  3. Step 3: Cross multiply
    54,404.16x = 83,216.53 × 83,216.53
  4. Step 4: Simplify right side
    54,404.16x = 6,924,991,073.28
  5. Step 5: Solve for x
    x = 6,924,991,073.28/54,404.16
  6. Step 6: Final answer
    x = 127,287.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.