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Finding the Third Proportional to 51,291 and 77,274

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Solution

The third proportional to 51,291 and 77,274 is: 116,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,291 : 77,274 = 77,274 : x
  2. Step 2: Convert to fraction form
    51,291/77,274 = 77,274/x
  3. Step 3: Cross multiply
    51,291x = 77,274 × 77,274
  4. Step 4: Simplify right side
    51,291x = 5,971,271,076
  5. Step 5: Solve for x
    x = 5,971,271,076/51,291
  6. Step 6: Final answer
    x = 116,419.47

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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.