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Finding the Third Proportional to 134,118 and 187,952

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Solution

The third proportional to 134,118 and 187,952 is: 263,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,118 : 187,952 = 187,952 : x
  2. Step 2: Convert to fraction form
    134,118/187,952 = 187,952/x
  3. Step 3: Cross multiply
    134,118x = 187,952 × 187,952
  4. Step 4: Simplify right side
    134,118x = 35,325,954,304
  5. Step 5: Solve for x
    x = 35,325,954,304/134,118
  6. Step 6: Final answer
    x = 263,394.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.