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Finding the Third Proportional to 134,325.84 and 182,538.56

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Solution

The third proportional to 134,325.84 and 182,538.56 is: 248,055.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,325.84 : 182,538.56 = 182,538.56 : x
  2. Step 2: Convert to fraction form
    134,325.84/182,538.56 = 182,538.56/x
  3. Step 3: Cross multiply
    134,325.84x = 182,538.56 × 182,538.56
  4. Step 4: Simplify right side
    134,325.84x = 33,320,326,799.57
  5. Step 5: Solve for x
    x = 33,320,326,799.57/134,325.84
  6. Step 6: Final answer
    x = 248,055.97

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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.