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Finding the Third Proportional to 50,599 and 75,488

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Solution

The third proportional to 50,599 and 75,488 is: 112,619.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,599 : 75,488 = 75,488 : x
  2. Step 2: Convert to fraction form
    50,599/75,488 = 75,488/x
  3. Step 3: Cross multiply
    50,599x = 75,488 × 75,488
  4. Step 4: Simplify right side
    50,599x = 5,698,438,144
  5. Step 5: Solve for x
    x = 5,698,438,144/50,599
  6. Step 6: Final answer
    x = 112,619.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.