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Finding the Third Proportional to 71,570.25 and 143,132.63

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Solution

The third proportional to 71,570.25 and 143,132.63 is: 286,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,570.25 : 143,132.63 = 143,132.63 : x
  2. Step 2: Convert to fraction form
    71,570.25/143,132.63 = 143,132.63/x
  3. Step 3: Cross multiply
    71,570.25x = 143,132.63 × 143,132.63
  4. Step 4: Simplify right side
    71,570.25x = 20,486,948,339.39
  5. Step 5: Solve for x
    x = 20,486,948,339.39/71,570.25
  6. Step 6: Final answer
    x = 286,249.50

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.