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Finding the Third Proportional to 94,418 and 140,343

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Solution

The third proportional to 94,418 and 140,343 is: 208,605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,418 : 140,343 = 140,343 : x
  2. Step 2: Convert to fraction form
    94,418/140,343 = 140,343/x
  3. Step 3: Cross multiply
    94,418x = 140,343 × 140,343
  4. Step 4: Simplify right side
    94,418x = 19,696,157,649
  5. Step 5: Solve for x
    x = 19,696,157,649/94,418
  6. Step 6: Final answer
    x = 208,605.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.