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Finding the Third Proportional to 112,330 and 168,952

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Solution

The third proportional to 112,330 and 168,952 is: 254,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,330 : 168,952 = 168,952 : x
  2. Step 2: Convert to fraction form
    112,330/168,952 = 168,952/x
  3. Step 3: Cross multiply
    112,330x = 168,952 × 168,952
  4. Step 4: Simplify right side
    112,330x = 28,544,778,304
  5. Step 5: Solve for x
    x = 28,544,778,304/112,330
  6. Step 6: Final answer
    x = 254,115.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.