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Finding the Third Proportional to 68,277.50 and 149,062

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Solution

The third proportional to 68,277.50 and 149,062 is: 325,429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,277.50 : 149,062 = 149,062 : x
  2. Step 2: Convert to fraction form
    68,277.50/149,062 = 149,062/x
  3. Step 3: Cross multiply
    68,277.50x = 149,062 × 149,062
  4. Step 4: Simplify right side
    68,277.50x = 22,219,479,844
  5. Step 5: Solve for x
    x = 22,219,479,844/68,277.50
  6. Step 6: Final answer
    x = 325,429.02

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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.