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Finding the Third Proportional to 68,488 and 149,433

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Solution

The third proportional to 68,488 and 149,433 is: 326,045.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,488 : 149,433 = 149,433 : x
  2. Step 2: Convert to fraction form
    68,488/149,433 = 149,433/x
  3. Step 3: Cross multiply
    68,488x = 149,433 × 149,433
  4. Step 4: Simplify right side
    68,488x = 22,330,221,489
  5. Step 5: Solve for x
    x = 22,330,221,489/68,488
  6. Step 6: Final answer
    x = 326,045.75

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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.