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Finding the Third Proportional to 68,050.13 and 105,765.75

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Solution

The third proportional to 68,050.13 and 105,765.75 is: 164,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,050.13 : 105,765.75 = 105,765.75 : x
  2. Step 2: Convert to fraction form
    68,050.13/105,765.75 = 105,765.75/x
  3. Step 3: Cross multiply
    68,050.13x = 105,765.75 × 105,765.75
  4. Step 4: Simplify right side
    68,050.13x = 11,186,393,873.06
  5. Step 5: Solve for x
    x = 11,186,393,873.06/68,050.13
  6. Step 6: Final answer
    x = 164,384.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.