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Finding the Third Proportional to 51,282 and 77,606

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Solution

The third proportional to 51,282 and 77,606 is: 117,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,282 : 77,606 = 77,606 : x
  2. Step 2: Convert to fraction form
    51,282/77,606 = 77,606/x
  3. Step 3: Cross multiply
    51,282x = 77,606 × 77,606
  4. Step 4: Simplify right side
    51,282x = 6,022,691,236
  5. Step 5: Solve for x
    x = 6,022,691,236/51,282
  6. Step 6: Final answer
    x = 117,442.60

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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.