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Finding the Third Proportional to 51,302 and 77,291

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Solution

The third proportional to 51,302 and 77,291 is: 116,445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,302 : 77,291 = 77,291 : x
  2. Step 2: Convert to fraction form
    51,302/77,291 = 77,291/x
  3. Step 3: Cross multiply
    51,302x = 77,291 × 77,291
  4. Step 4: Simplify right side
    51,302x = 5,973,898,681
  5. Step 5: Solve for x
    x = 5,973,898,681/51,302
  6. Step 6: Final answer
    x = 116,445.73

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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.