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Finding the Third Proportional to 68,412.09 and 103,199.06

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Solution

The third proportional to 68,412.09 and 103,199.06 is: 155,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,412.09 : 103,199.06 = 103,199.06 : x
  2. Step 2: Convert to fraction form
    68,412.09/103,199.06 = 103,199.06/x
  3. Step 3: Cross multiply
    68,412.09x = 103,199.06 × 103,199.06
  4. Step 4: Simplify right side
    68,412.09x = 10,650,046,500.88
  5. Step 5: Solve for x
    x = 10,650,046,500.88/68,412.09
  6. Step 6: Final answer
    x = 155,674.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.