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Finding the Third Proportional to 68,924 and 150,154

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Solution

The third proportional to 68,924 and 150,154 is: 327,117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,924 : 150,154 = 150,154 : x
  2. Step 2: Convert to fraction form
    68,924/150,154 = 150,154/x
  3. Step 3: Cross multiply
    68,924x = 150,154 × 150,154
  4. Step 4: Simplify right side
    68,924x = 22,546,223,716
  5. Step 5: Solve for x
    x = 22,546,223,716/68,924
  6. Step 6: Final answer
    x = 327,117.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.