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Finding the Third Proportional to 50,058 and 77,598

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Solution

The third proportional to 50,058 and 77,598 is: 120,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,058 : 77,598 = 77,598 : x
  2. Step 2: Convert to fraction form
    50,058/77,598 = 77,598/x
  3. Step 3: Cross multiply
    50,058x = 77,598 × 77,598
  4. Step 4: Simplify right side
    50,058x = 6,021,449,604
  5. Step 5: Solve for x
    x = 6,021,449,604/50,058
  6. Step 6: Final answer
    x = 120,289.46

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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.