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Finding the Third Proportional to 92,414 and 146,901

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Solution

The third proportional to 92,414 and 146,901 is: 233,513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,414 : 146,901 = 146,901 : x
  2. Step 2: Convert to fraction form
    92,414/146,901 = 146,901/x
  3. Step 3: Cross multiply
    92,414x = 146,901 × 146,901
  4. Step 4: Simplify right side
    92,414x = 21,579,903,801
  5. Step 5: Solve for x
    x = 21,579,903,801/92,414
  6. Step 6: Final answer
    x = 233,513.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.