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Finding the Third Proportional to 37,972 and 88,720

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Solution

The third proportional to 37,972 and 88,720 is: 207,290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,972 : 88,720 = 88,720 : x
  2. Step 2: Convert to fraction form
    37,972/88,720 = 88,720/x
  3. Step 3: Cross multiply
    37,972x = 88,720 × 88,720
  4. Step 4: Simplify right side
    37,972x = 7,871,238,400
  5. Step 5: Solve for x
    x = 7,871,238,400/37,972
  6. Step 6: Final answer
    x = 207,290.59

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.