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Finding the Third Proportional to 50,028 and 77,436

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Solution

The third proportional to 50,028 and 77,436 is: 119,859.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,028 : 77,436 = 77,436 : x
  2. Step 2: Convert to fraction form
    50,028/77,436 = 77,436/x
  3. Step 3: Cross multiply
    50,028x = 77,436 × 77,436
  4. Step 4: Simplify right side
    50,028x = 5,996,334,096
  5. Step 5: Solve for x
    x = 5,996,334,096/50,028
  6. Step 6: Final answer
    x = 119,859.56

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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.