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Finding the Third Proportional to 59,354 and 140,111

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Solution

The third proportional to 59,354 and 140,111 is: 330,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,354 : 140,111 = 140,111 : x
  2. Step 2: Convert to fraction form
    59,354/140,111 = 140,111/x
  3. Step 3: Cross multiply
    59,354x = 140,111 × 140,111
  4. Step 4: Simplify right side
    59,354x = 19,631,092,321
  5. Step 5: Solve for x
    x = 19,631,092,321/59,354
  6. Step 6: Final answer
    x = 330,745.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.