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Finding the Third Proportional to 48,316 and 76,866

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Solution

The third proportional to 48,316 and 76,866 is: 122,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,316 : 76,866 = 76,866 : x
  2. Step 2: Convert to fraction form
    48,316/76,866 = 76,866/x
  3. Step 3: Cross multiply
    48,316x = 76,866 × 76,866
  4. Step 4: Simplify right side
    48,316x = 5,908,381,956
  5. Step 5: Solve for x
    x = 5,908,381,956/48,316
  6. Step 6: Final answer
    x = 122,286.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.