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Finding the Third Proportional to 50,877 and 77,827

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Solution

The third proportional to 50,877 and 77,827 is: 119,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,877 : 77,827 = 77,827 : x
  2. Step 2: Convert to fraction form
    50,877/77,827 = 77,827/x
  3. Step 3: Cross multiply
    50,877x = 77,827 × 77,827
  4. Step 4: Simplify right side
    50,877x = 6,057,041,929
  5. Step 5: Solve for x
    x = 6,057,041,929/50,877
  6. Step 6: Final answer
    x = 119,052.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.