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Finding the Third Proportional to 95,520.75 and 147,291

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Solution

The third proportional to 95,520.75 and 147,291 is: 227,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,520.75 : 147,291 = 147,291 : x
  2. Step 2: Convert to fraction form
    95,520.75/147,291 = 147,291/x
  3. Step 3: Cross multiply
    95,520.75x = 147,291 × 147,291
  4. Step 4: Simplify right side
    95,520.75x = 21,694,638,681
  5. Step 5: Solve for x
    x = 21,694,638,681/95,520.75
  6. Step 6: Final answer
    x = 227,119.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.