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Finding the Third Proportional to 74,048 and 114,692

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Solution

The third proportional to 74,048 and 114,692 is: 177,644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,048 : 114,692 = 114,692 : x
  2. Step 2: Convert to fraction form
    74,048/114,692 = 114,692/x
  3. Step 3: Cross multiply
    74,048x = 114,692 × 114,692
  4. Step 4: Simplify right side
    74,048x = 13,154,254,864
  5. Step 5: Solve for x
    x = 13,154,254,864/74,048
  6. Step 6: Final answer
    x = 177,644.97

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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.