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Finding the Third Proportional to 68,574 and 149,619

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Solution

The third proportional to 68,574 and 149,619 is: 326,448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,574 : 149,619 = 149,619 : x
  2. Step 2: Convert to fraction form
    68,574/149,619 = 149,619/x
  3. Step 3: Cross multiply
    68,574x = 149,619 × 149,619
  4. Step 4: Simplify right side
    68,574x = 22,385,845,161
  5. Step 5: Solve for x
    x = 22,385,845,161/68,574
  6. Step 6: Final answer
    x = 326,448.00

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.