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Finding the Third Proportional to 74,129 and 114,663

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Solution

The third proportional to 74,129 and 114,663 is: 177,361.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,129 : 114,663 = 114,663 : x
  2. Step 2: Convert to fraction form
    74,129/114,663 = 114,663/x
  3. Step 3: Cross multiply
    74,129x = 114,663 × 114,663
  4. Step 4: Simplify right side
    74,129x = 13,147,603,569
  5. Step 5: Solve for x
    x = 13,147,603,569/74,129
  6. Step 6: Final answer
    x = 177,361.13

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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.