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Finding the Third Proportional to 107,974 and 169,364

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Solution

The third proportional to 107,974 and 169,364 is: 265,658.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,974 : 169,364 = 169,364 : x
  2. Step 2: Convert to fraction form
    107,974/169,364 = 169,364/x
  3. Step 3: Cross multiply
    107,974x = 169,364 × 169,364
  4. Step 4: Simplify right side
    107,974x = 28,684,164,496
  5. Step 5: Solve for x
    x = 28,684,164,496/107,974
  6. Step 6: Final answer
    x = 265,658.07

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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.