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Finding the Third Proportional to 134,565.75 and 182,837.25

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Solution

The third proportional to 134,565.75 and 182,837.25 is: 248,424.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,565.75 : 182,837.25 = 182,837.25 : x
  2. Step 2: Convert to fraction form
    134,565.75/182,837.25 = 182,837.25/x
  3. Step 3: Cross multiply
    134,565.75x = 182,837.25 × 182,837.25
  4. Step 4: Simplify right side
    134,565.75x = 33,429,459,987.56
  5. Step 5: Solve for x
    x = 33,429,459,987.56/134,565.75
  6. Step 6: Final answer
    x = 248,424.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.