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Finding the Third Proportional to 42,438 and 93,351

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Solution

The third proportional to 42,438 and 93,351 is: 205,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,438 : 93,351 = 93,351 : x
  2. Step 2: Convert to fraction form
    42,438/93,351 = 93,351/x
  3. Step 3: Cross multiply
    42,438x = 93,351 × 93,351
  4. Step 4: Simplify right side
    42,438x = 8,714,409,201
  5. Step 5: Solve for x
    x = 8,714,409,201/42,438
  6. Step 6: Final answer
    x = 205,344.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.