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Finding the Third Proportional to 50,071 and 77,502

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Solution

The third proportional to 50,071 and 77,502 is: 119,960.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,071 : 77,502 = 77,502 : x
  2. Step 2: Convert to fraction form
    50,071/77,502 = 77,502/x
  3. Step 3: Cross multiply
    50,071x = 77,502 × 77,502
  4. Step 4: Simplify right side
    50,071x = 6,006,560,004
  5. Step 5: Solve for x
    x = 6,006,560,004/50,071
  6. Step 6: Final answer
    x = 119,960.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.