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Finding the Third Proportional to 132,400 and 185,206

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Solution

The third proportional to 132,400 and 185,206 is: 259,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,400 : 185,206 = 185,206 : x
  2. Step 2: Convert to fraction form
    132,400/185,206 = 185,206/x
  3. Step 3: Cross multiply
    132,400x = 185,206 × 185,206
  4. Step 4: Simplify right side
    132,400x = 34,301,262,436
  5. Step 5: Solve for x
    x = 34,301,262,436/132,400
  6. Step 6: Final answer
    x = 259,072.98

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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.