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Finding the Third Proportional to 67,068.14 and 142,132.50

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Solution

The third proportional to 67,068.14 and 142,132.50 is: 301,210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,068.14 : 142,132.50 = 142,132.50 : x
  2. Step 2: Convert to fraction form
    67,068.14/142,132.50 = 142,132.50/x
  3. Step 3: Cross multiply
    67,068.14x = 142,132.50 × 142,132.50
  4. Step 4: Simplify right side
    67,068.14x = 20,201,647,556.25
  5. Step 5: Solve for x
    x = 20,201,647,556.25/67,068.14
  6. Step 6: Final answer
    x = 301,210.79

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.