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Finding the Third Proportional to 74,208 and 114,858

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Solution

The third proportional to 74,208 and 114,858 is: 177,775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,208 : 114,858 = 114,858 : x
  2. Step 2: Convert to fraction form
    74,208/114,858 = 114,858/x
  3. Step 3: Cross multiply
    74,208x = 114,858 × 114,858
  4. Step 4: Simplify right side
    74,208x = 13,192,360,164
  5. Step 5: Solve for x
    x = 13,192,360,164/74,208
  6. Step 6: Final answer
    x = 177,775.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.