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Finding the Third Proportional to 51,764 and 77,566

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Solution

The third proportional to 51,764 and 77,566 is: 116,229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,764 : 77,566 = 77,566 : x
  2. Step 2: Convert to fraction form
    51,764/77,566 = 77,566/x
  3. Step 3: Cross multiply
    51,764x = 77,566 × 77,566
  4. Step 4: Simplify right side
    51,764x = 6,016,484,356
  5. Step 5: Solve for x
    x = 6,016,484,356/51,764
  6. Step 6: Final answer
    x = 116,229.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.