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Finding the Third Proportional to 67,963 and 147,732.50

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Solution

The third proportional to 67,963 and 147,732.50 is: 321,129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,963 : 147,732.50 = 147,732.50 : x
  2. Step 2: Convert to fraction form
    67,963/147,732.50 = 147,732.50/x
  3. Step 3: Cross multiply
    67,963x = 147,732.50 × 147,732.50
  4. Step 4: Simplify right side
    67,963x = 21,824,891,556.25
  5. Step 5: Solve for x
    x = 21,824,891,556.25/67,963
  6. Step 6: Final answer
    x = 321,129.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.