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Finding the Third Proportional to 45,829.13 and 68,460.19

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Solution

The third proportional to 45,829.13 and 68,460.19 is: 102,266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,829.13 : 68,460.19 = 68,460.19 : x
  2. Step 2: Convert to fraction form
    45,829.13/68,460.19 = 68,460.19/x
  3. Step 3: Cross multiply
    45,829.13x = 68,460.19 × 68,460.19
  4. Step 4: Simplify right side
    45,829.13x = 4,686,797,272.54
  5. Step 5: Solve for x
    x = 4,686,797,272.54/45,829.13
  6. Step 6: Final answer
    x = 102,266.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.