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Finding the Third Proportional to 106,492 and 161,682

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Solution

The third proportional to 106,492 and 161,682 is: 245,474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,492 : 161,682 = 161,682 : x
  2. Step 2: Convert to fraction form
    106,492/161,682 = 161,682/x
  3. Step 3: Cross multiply
    106,492x = 161,682 × 161,682
  4. Step 4: Simplify right side
    106,492x = 26,141,069,124
  5. Step 5: Solve for x
    x = 26,141,069,124/106,492
  6. Step 6: Final answer
    x = 245,474.49

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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.