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Finding the Third Proportional to 49,754 and 75,351

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Solution

The third proportional to 49,754 and 75,351 is: 114,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,754 : 75,351 = 75,351 : x
  2. Step 2: Convert to fraction form
    49,754/75,351 = 75,351/x
  3. Step 3: Cross multiply
    49,754x = 75,351 × 75,351
  4. Step 4: Simplify right side
    49,754x = 5,677,773,201
  5. Step 5: Solve for x
    x = 5,677,773,201/49,754
  6. Step 6: Final answer
    x = 114,116.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.