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Finding the Third Proportional to 74,412 and 108,864

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Solution

The third proportional to 74,412 and 108,864 is: 159,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,412 : 108,864 = 108,864 : x
  2. Step 2: Convert to fraction form
    74,412/108,864 = 108,864/x
  3. Step 3: Cross multiply
    74,412x = 108,864 × 108,864
  4. Step 4: Simplify right side
    74,412x = 11,851,370,496
  5. Step 5: Solve for x
    x = 11,851,370,496/74,412
  6. Step 6: Final answer
    x = 159,266.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.