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Finding the Third Proportional to 68,539.29 and 102,238.45

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Solution

The third proportional to 68,539.29 and 102,238.45 is: 152,506.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,539.29 : 102,238.45 = 102,238.45 : x
  2. Step 2: Convert to fraction form
    68,539.29/102,238.45 = 102,238.45/x
  3. Step 3: Cross multiply
    68,539.29x = 102,238.45 × 102,238.45
  4. Step 4: Simplify right side
    68,539.29x = 10,452,701,297.39
  5. Step 5: Solve for x
    x = 10,452,701,297.39/68,539.29
  6. Step 6: Final answer
    x = 152,506.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.