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Finding the Third Proportional to 92,242 and 141,039

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Solution

The third proportional to 92,242 and 141,039 is: 215,650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,242 : 141,039 = 141,039 : x
  2. Step 2: Convert to fraction form
    92,242/141,039 = 141,039/x
  3. Step 3: Cross multiply
    92,242x = 141,039 × 141,039
  4. Step 4: Simplify right side
    92,242x = 19,891,999,521
  5. Step 5: Solve for x
    x = 19,891,999,521/92,242
  6. Step 6: Final answer
    x = 215,650.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.