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Finding the Third Proportional to 52,414 and 74,091

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Solution

The third proportional to 52,414 and 74,091 is: 104,733.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,414 : 74,091 = 74,091 : x
  2. Step 2: Convert to fraction form
    52,414/74,091 = 74,091/x
  3. Step 3: Cross multiply
    52,414x = 74,091 × 74,091
  4. Step 4: Simplify right side
    52,414x = 5,489,476,281
  5. Step 5: Solve for x
    x = 5,489,476,281/52,414
  6. Step 6: Final answer
    x = 104,733.02

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Why These Related Problems?

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