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Finding the Third Proportional to 42,338 and 60,243

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Solution

The third proportional to 42,338 and 60,243 is: 85,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,338 : 60,243 = 60,243 : x
  2. Step 2: Convert to fraction form
    42,338/60,243 = 60,243/x
  3. Step 3: Cross multiply
    42,338x = 60,243 × 60,243
  4. Step 4: Simplify right side
    42,338x = 3,629,219,049
  5. Step 5: Solve for x
    x = 3,629,219,049/42,338
  6. Step 6: Final answer
    x = 85,720.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.