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Finding the Third Proportional to 35,754 and 76,257

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Solution

The third proportional to 35,754 and 76,257 is: 162,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,754 : 76,257 = 76,257 : x
  2. Step 2: Convert to fraction form
    35,754/76,257 = 76,257/x
  3. Step 3: Cross multiply
    35,754x = 76,257 × 76,257
  4. Step 4: Simplify right side
    35,754x = 5,815,130,049
  5. Step 5: Solve for x
    x = 5,815,130,049/35,754
  6. Step 6: Final answer
    x = 162,642.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.