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Finding the Third Proportional to 67,873 and 149,130.50

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Solution

The third proportional to 67,873 and 149,130.50 is: 327,669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,873 : 149,130.50 = 149,130.50 : x
  2. Step 2: Convert to fraction form
    67,873/149,130.50 = 149,130.50/x
  3. Step 3: Cross multiply
    67,873x = 149,130.50 × 149,130.50
  4. Step 4: Simplify right side
    67,873x = 22,239,906,030.25
  5. Step 5: Solve for x
    x = 22,239,906,030.25/67,873
  6. Step 6: Final answer
    x = 327,669.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.