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Finding the Third Proportional to 75,048 and 105,552

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Solution

The third proportional to 75,048 and 105,552 is: 148,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,048 : 105,552 = 105,552 : x
  2. Step 2: Convert to fraction form
    75,048/105,552 = 105,552/x
  3. Step 3: Cross multiply
    75,048x = 105,552 × 105,552
  4. Step 4: Simplify right side
    75,048x = 11,141,224,704
  5. Step 5: Solve for x
    x = 11,141,224,704/75,048
  6. Step 6: Final answer
    x = 148,454.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.