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Finding the Third Proportional to 142,674.75 and 213,553.13

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Solution

The third proportional to 142,674.75 and 213,553.13 is: 319,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,674.75 : 213,553.13 = 213,553.13 : x
  2. Step 2: Convert to fraction form
    142,674.75/213,553.13 = 213,553.13/x
  3. Step 3: Cross multiply
    142,674.75x = 213,553.13 × 213,553.13
  4. Step 4: Simplify right side
    142,674.75x = 45,604,937,197.27
  5. Step 5: Solve for x
    x = 45,604,937,197.27/142,674.75
  6. Step 6: Final answer
    x = 319,642.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.