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Finding the Third Proportional to 75,176 and 111,952

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Solution

The third proportional to 75,176 and 111,952 is: 166,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,176 : 111,952 = 111,952 : x
  2. Step 2: Convert to fraction form
    75,176/111,952 = 111,952/x
  3. Step 3: Cross multiply
    75,176x = 111,952 × 111,952
  4. Step 4: Simplify right side
    75,176x = 12,533,250,304
  5. Step 5: Solve for x
    x = 12,533,250,304/75,176
  6. Step 6: Final answer
    x = 166,718.77

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Why These Related Problems?

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