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Finding the Third Proportional to 39,202 and 60,718

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Solution

The third proportional to 39,202 and 60,718 is: 94,043.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,202 : 60,718 = 60,718 : x
  2. Step 2: Convert to fraction form
    39,202/60,718 = 60,718/x
  3. Step 3: Cross multiply
    39,202x = 60,718 × 60,718
  4. Step 4: Simplify right side
    39,202x = 3,686,675,524
  5. Step 5: Solve for x
    x = 3,686,675,524/39,202
  6. Step 6: Final answer
    x = 94,043.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.