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Finding the Third Proportional to 34,690.13 and 75,212.25

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Solution

The third proportional to 34,690.13 and 75,212.25 is: 163,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,690.13 : 75,212.25 = 75,212.25 : x
  2. Step 2: Convert to fraction form
    34,690.13/75,212.25 = 75,212.25/x
  3. Step 3: Cross multiply
    34,690.13x = 75,212.25 × 75,212.25
  4. Step 4: Simplify right side
    34,690.13x = 5,656,882,550.06
  5. Step 5: Solve for x
    x = 5,656,882,550.06/34,690.13
  6. Step 6: Final answer
    x = 163,068.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.