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Finding the Third Proportional to 75,225 and 108,720

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Solution

The third proportional to 75,225 and 108,720 is: 157,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,225 : 108,720 = 108,720 : x
  2. Step 2: Convert to fraction form
    75,225/108,720 = 108,720/x
  3. Step 3: Cross multiply
    75,225x = 108,720 × 108,720
  4. Step 4: Simplify right side
    75,225x = 11,820,038,400
  5. Step 5: Solve for x
    x = 11,820,038,400/75,225
  6. Step 6: Final answer
    x = 157,129.12

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.