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Finding the Third Proportional to 75,048 and 115,068

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Solution

The third proportional to 75,048 and 115,068 is: 176,429.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,048 : 115,068 = 115,068 : x
  2. Step 2: Convert to fraction form
    75,048/115,068 = 115,068/x
  3. Step 3: Cross multiply
    75,048x = 115,068 × 115,068
  4. Step 4: Simplify right side
    75,048x = 13,240,644,624
  5. Step 5: Solve for x
    x = 13,240,644,624/75,048
  6. Step 6: Final answer
    x = 176,429.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.