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Finding the Third Proportional to 67,488 and 145,662

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Solution

The third proportional to 67,488 and 145,662 is: 314,388.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,488 : 145,662 = 145,662 : x
  2. Step 2: Convert to fraction form
    67,488/145,662 = 145,662/x
  3. Step 3: Cross multiply
    67,488x = 145,662 × 145,662
  4. Step 4: Simplify right side
    67,488x = 21,217,418,244
  5. Step 5: Solve for x
    x = 21,217,418,244/67,488
  6. Step 6: Final answer
    x = 314,388.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.