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Finding the Third Proportional to 74,369.81 and 113,298.19

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Solution

The third proportional to 74,369.81 and 113,298.19 is: 172,603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,369.81 : 113,298.19 = 113,298.19 : x
  2. Step 2: Convert to fraction form
    74,369.81/113,298.19 = 113,298.19/x
  3. Step 3: Cross multiply
    74,369.81x = 113,298.19 × 113,298.19
  4. Step 4: Simplify right side
    74,369.81x = 12,836,479,290.79
  5. Step 5: Solve for x
    x = 12,836,479,290.79/74,369.81
  6. Step 6: Final answer
    x = 172,603.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.