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Finding the Third Proportional to 51,194 and 77,507

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Solution

The third proportional to 51,194 and 77,507 is: 117,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,194 : 77,507 = 77,507 : x
  2. Step 2: Convert to fraction form
    51,194/77,507 = 77,507/x
  3. Step 3: Cross multiply
    51,194x = 77,507 × 77,507
  4. Step 4: Simplify right side
    51,194x = 6,007,335,049
  5. Step 5: Solve for x
    x = 6,007,335,049/51,194
  6. Step 6: Final answer
    x = 117,344.51

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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.