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Finding the Third Proportional to 106,499 and 161,693

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Solution

The third proportional to 106,499 and 161,693 is: 245,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,499 : 161,693 = 161,693 : x
  2. Step 2: Convert to fraction form
    106,499/161,693 = 161,693/x
  3. Step 3: Cross multiply
    106,499x = 161,693 × 161,693
  4. Step 4: Simplify right side
    106,499x = 26,144,626,249
  5. Step 5: Solve for x
    x = 26,144,626,249/106,499
  6. Step 6: Final answer
    x = 245,491.75

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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.