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Finding the Third Proportional to 68,034 and 158,160

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Solution

The third proportional to 68,034 and 158,160 is: 367,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,034 : 158,160 = 158,160 : x
  2. Step 2: Convert to fraction form
    68,034/158,160 = 158,160/x
  3. Step 3: Cross multiply
    68,034x = 158,160 × 158,160
  4. Step 4: Simplify right side
    68,034x = 25,014,585,600
  5. Step 5: Solve for x
    x = 25,014,585,600/68,034
  6. Step 6: Final answer
    x = 367,677.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.