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Finding the Third Proportional to 50,875 and 77,825

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Solution

The third proportional to 50,875 and 77,825 is: 119,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,875 : 77,825 = 77,825 : x
  2. Step 2: Convert to fraction form
    50,875/77,825 = 77,825/x
  3. Step 3: Cross multiply
    50,875x = 77,825 × 77,825
  4. Step 4: Simplify right side
    50,875x = 6,056,730,625
  5. Step 5: Solve for x
    x = 6,056,730,625/50,875
  6. Step 6: Final answer
    x = 119,051.22

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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.