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Finding the Third Proportional to 67,174.50 and 141,639

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Solution

The third proportional to 67,174.50 and 141,639 is: 298,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,174.50 : 141,639 = 141,639 : x
  2. Step 2: Convert to fraction form
    67,174.50/141,639 = 141,639/x
  3. Step 3: Cross multiply
    67,174.50x = 141,639 × 141,639
  4. Step 4: Simplify right side
    67,174.50x = 20,061,606,321
  5. Step 5: Solve for x
    x = 20,061,606,321/67,174.50
  6. Step 6: Final answer
    x = 298,649.14

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.