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Finding the Third Proportional to 34,111.13 and 74,926.69

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Solution

The third proportional to 34,111.13 and 74,926.69 is: 164,579.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,111.13 : 74,926.69 = 74,926.69 : x
  2. Step 2: Convert to fraction form
    34,111.13/74,926.69 = 74,926.69/x
  3. Step 3: Cross multiply
    34,111.13x = 74,926.69 × 74,926.69
  4. Step 4: Simplify right side
    34,111.13x = 5,614,008,499.72
  5. Step 5: Solve for x
    x = 5,614,008,499.72/34,111.13
  6. Step 6: Final answer
    x = 164,579.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.