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Finding the Third Proportional to 69,303.94 and 143,349.75

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Solution

The third proportional to 69,303.94 and 143,349.75 is: 296,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,303.94 : 143,349.75 = 143,349.75 : x
  2. Step 2: Convert to fraction form
    69,303.94/143,349.75 = 143,349.75/x
  3. Step 3: Cross multiply
    69,303.94x = 143,349.75 × 143,349.75
  4. Step 4: Simplify right side
    69,303.94x = 20,549,150,825.06
  5. Step 5: Solve for x
    x = 20,549,150,825.06/69,303.94
  6. Step 6: Final answer
    x = 296,507.70

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.