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Finding the Third Proportional to 68,652.50 and 148,723

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Solution

The third proportional to 68,652.50 and 148,723 is: 322,180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,652.50 : 148,723 = 148,723 : x
  2. Step 2: Convert to fraction form
    68,652.50/148,723 = 148,723/x
  3. Step 3: Cross multiply
    68,652.50x = 148,723 × 148,723
  4. Step 4: Simplify right side
    68,652.50x = 22,118,530,729
  5. Step 5: Solve for x
    x = 22,118,530,729/68,652.50
  6. Step 6: Final answer
    x = 322,180.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.