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Finding the Third Proportional to 91,738 and 140,343

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Solution

The third proportional to 91,738 and 140,343 is: 214,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,738 : 140,343 = 140,343 : x
  2. Step 2: Convert to fraction form
    91,738/140,343 = 140,343/x
  3. Step 3: Cross multiply
    91,738x = 140,343 × 140,343
  4. Step 4: Simplify right side
    91,738x = 19,696,157,649
  5. Step 5: Solve for x
    x = 19,696,157,649/91,738
  6. Step 6: Final answer
    x = 214,700.10

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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.