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Finding the Third Proportional to 50,112 and 77,488

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Solution

The third proportional to 50,112 and 77,488 is: 119,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,112 : 77,488 = 77,488 : x
  2. Step 2: Convert to fraction form
    50,112/77,488 = 77,488/x
  3. Step 3: Cross multiply
    50,112x = 77,488 × 77,488
  4. Step 4: Simplify right side
    50,112x = 6,004,390,144
  5. Step 5: Solve for x
    x = 6,004,390,144/50,112
  6. Step 6: Final answer
    x = 119,819.41

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