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Finding the Third Proportional to 37,242 and 79,650

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Solution

The third proportional to 37,242 and 79,650 is: 170,348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,242 : 79,650 = 79,650 : x
  2. Step 2: Convert to fraction form
    37,242/79,650 = 79,650/x
  3. Step 3: Cross multiply
    37,242x = 79,650 × 79,650
  4. Step 4: Simplify right side
    37,242x = 6,344,122,500
  5. Step 5: Solve for x
    x = 6,344,122,500/37,242
  6. Step 6: Final answer
    x = 170,348.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.