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Finding the Third Proportional to 52,398.56 and 74,071.69

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Solution

The third proportional to 52,398.56 and 74,071.69 is: 104,709.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,398.56 : 74,071.69 = 74,071.69 : x
  2. Step 2: Convert to fraction form
    52,398.56/74,071.69 = 74,071.69/x
  3. Step 3: Cross multiply
    52,398.56x = 74,071.69 × 74,071.69
  4. Step 4: Simplify right side
    52,398.56x = 5,486,614,889.10
  5. Step 5: Solve for x
    x = 5,486,614,889.10/52,398.56
  6. Step 6: Final answer
    x = 104,709.26

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.