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Finding the Third Proportional to 77,473 and 114,766

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Solution

The third proportional to 77,473 and 114,766 is: 170,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,473 : 114,766 = 114,766 : x
  2. Step 2: Convert to fraction form
    77,473/114,766 = 114,766/x
  3. Step 3: Cross multiply
    77,473x = 114,766 × 114,766
  4. Step 4: Simplify right side
    77,473x = 13,171,234,756
  5. Step 5: Solve for x
    x = 13,171,234,756/77,473
  6. Step 6: Final answer
    x = 170,010.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.