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Finding the Third Proportional to 50,894 and 77,850

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Solution

The third proportional to 50,894 and 77,850 is: 119,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,894 : 77,850 = 77,850 : x
  2. Step 2: Convert to fraction form
    50,894/77,850 = 77,850/x
  3. Step 3: Cross multiply
    50,894x = 77,850 × 77,850
  4. Step 4: Simplify right side
    50,894x = 6,060,622,500
  5. Step 5: Solve for x
    x = 6,060,622,500/50,894
  6. Step 6: Final answer
    x = 119,083.24

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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.