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Finding the Third Proportional to 142,069 and 215,695

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Solution

The third proportional to 142,069 and 215,695 is: 327,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,069 : 215,695 = 215,695 : x
  2. Step 2: Convert to fraction form
    142,069/215,695 = 215,695/x
  3. Step 3: Cross multiply
    142,069x = 215,695 × 215,695
  4. Step 4: Simplify right side
    142,069x = 46,524,333,025
  5. Step 5: Solve for x
    x = 46,524,333,025/142,069
  6. Step 6: Final answer
    x = 327,477.02

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.