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Finding the Third Proportional to 94,214 and 132,044

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Solution

The third proportional to 94,214 and 132,044 is: 185,063.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,214 : 132,044 = 132,044 : x
  2. Step 2: Convert to fraction form
    94,214/132,044 = 132,044/x
  3. Step 3: Cross multiply
    94,214x = 132,044 × 132,044
  4. Step 4: Simplify right side
    94,214x = 17,435,617,936
  5. Step 5: Solve for x
    x = 17,435,617,936/94,214
  6. Step 6: Final answer
    x = 185,063.98

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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.