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Finding the Third Proportional to 72,918 and 95,749

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Solution

The third proportional to 72,918 and 95,749 is: 125,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,918 : 95,749 = 95,749 : x
  2. Step 2: Convert to fraction form
    72,918/95,749 = 95,749/x
  3. Step 3: Cross multiply
    72,918x = 95,749 × 95,749
  4. Step 4: Simplify right side
    72,918x = 9,167,871,001
  5. Step 5: Solve for x
    x = 9,167,871,001/72,918
  6. Step 6: Final answer
    x = 125,728.50

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.