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Finding the Third Proportional to 47,334 and 76,257

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Solution

The third proportional to 47,334 and 76,257 is: 122,853.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,334 : 76,257 = 76,257 : x
  2. Step 2: Convert to fraction form
    47,334/76,257 = 76,257/x
  3. Step 3: Cross multiply
    47,334x = 76,257 × 76,257
  4. Step 4: Simplify right side
    47,334x = 5,815,130,049
  5. Step 5: Solve for x
    x = 5,815,130,049/47,334
  6. Step 6: Final answer
    x = 122,853.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.