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Finding the Third Proportional to 74,264 and 114,914

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Solution

The third proportional to 74,264 and 114,914 is: 177,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,264 : 114,914 = 114,914 : x
  2. Step 2: Convert to fraction form
    74,264/114,914 = 114,914/x
  3. Step 3: Cross multiply
    74,264x = 114,914 × 114,914
  4. Step 4: Simplify right side
    74,264x = 13,205,227,396
  5. Step 5: Solve for x
    x = 13,205,227,396/74,264
  6. Step 6: Final answer
    x = 177,814.65

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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.