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Finding the Third Proportional to 109,562 and 169,181

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Solution

The third proportional to 109,562 and 169,181 is: 261,242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,562 : 169,181 = 169,181 : x
  2. Step 2: Convert to fraction form
    109,562/169,181 = 169,181/x
  3. Step 3: Cross multiply
    109,562x = 169,181 × 169,181
  4. Step 4: Simplify right side
    109,562x = 28,622,210,761
  5. Step 5: Solve for x
    x = 28,622,210,761/109,562
  6. Step 6: Final answer
    x = 261,242.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.