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Finding the Third Proportional to 92,801 and 141,046

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Solution

The third proportional to 92,801 and 141,046 is: 214,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,801 : 141,046 = 141,046 : x
  2. Step 2: Convert to fraction form
    92,801/141,046 = 141,046/x
  3. Step 3: Cross multiply
    92,801x = 141,046 × 141,046
  4. Step 4: Simplify right side
    92,801x = 19,893,974,116
  5. Step 5: Solve for x
    x = 19,893,974,116/92,801
  6. Step 6: Final answer
    x = 214,372.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.