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Finding the Third Proportional to 54,330.75 and 95,438.25

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Solution

The third proportional to 54,330.75 and 95,438.25 is: 167,648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,330.75 : 95,438.25 = 95,438.25 : x
  2. Step 2: Convert to fraction form
    54,330.75/95,438.25 = 95,438.25/x
  3. Step 3: Cross multiply
    54,330.75x = 95,438.25 × 95,438.25
  4. Step 4: Simplify right side
    54,330.75x = 9,108,459,563.06
  5. Step 5: Solve for x
    x = 9,108,459,563.06/54,330.75
  6. Step 6: Final answer
    x = 167,648.33

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.