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Finding the Third Proportional to 106,498 and 161,692

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Solution

The third proportional to 106,498 and 161,692 is: 245,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,498 : 161,692 = 161,692 : x
  2. Step 2: Convert to fraction form
    106,498/161,692 = 161,692/x
  3. Step 3: Cross multiply
    106,498x = 161,692 × 161,692
  4. Step 4: Simplify right side
    106,498x = 26,144,302,864
  5. Step 5: Solve for x
    x = 26,144,302,864/106,498
  6. Step 6: Final answer
    x = 245,491.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.