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Finding the Third Proportional to 45,780.19 and 68,419.69

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Solution

The third proportional to 45,780.19 and 68,419.69 is: 102,255.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,780.19 : 68,419.69 = 68,419.69 : x
  2. Step 2: Convert to fraction form
    45,780.19/68,419.69 = 68,419.69/x
  3. Step 3: Cross multiply
    45,780.19x = 68,419.69 × 68,419.69
  4. Step 4: Simplify right side
    45,780.19x = 4,681,253,637.60
  5. Step 5: Solve for x
    x = 4,681,253,637.60/45,780.19
  6. Step 6: Final answer
    x = 102,255.01

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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.