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Finding the Third Proportional to 142,158.80 and 213,305.06

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Solution

The third proportional to 142,158.80 and 213,305.06 is: 320,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,158.80 : 213,305.06 = 213,305.06 : x
  2. Step 2: Convert to fraction form
    142,158.80/213,305.06 = 213,305.06/x
  3. Step 3: Cross multiply
    142,158.80x = 213,305.06 × 213,305.06
  4. Step 4: Simplify right side
    142,158.80x = 45,499,049,688.13
  5. Step 5: Solve for x
    x = 45,499,049,688.13/142,158.80
  6. Step 6: Final answer
    x = 320,057.93

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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.