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Finding the Third Proportional to 91,738 and 140,342

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Solution

The third proportional to 91,738 and 140,342 is: 214,697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,738 : 140,342 = 140,342 : x
  2. Step 2: Convert to fraction form
    91,738/140,342 = 140,342/x
  3. Step 3: Cross multiply
    91,738x = 140,342 × 140,342
  4. Step 4: Simplify right side
    91,738x = 19,695,876,964
  5. Step 5: Solve for x
    x = 19,695,876,964/91,738
  6. Step 6: Final answer
    x = 214,697.04

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