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Finding the Third Proportional to 102,799 and 161,298

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Solution

The third proportional to 102,799 and 161,298 is: 253,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,799 : 161,298 = 161,298 : x
  2. Step 2: Convert to fraction form
    102,799/161,298 = 161,298/x
  3. Step 3: Cross multiply
    102,799x = 161,298 × 161,298
  4. Step 4: Simplify right side
    102,799x = 26,017,044,804
  5. Step 5: Solve for x
    x = 26,017,044,804/102,799
  6. Step 6: Final answer
    x = 253,086.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.