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Finding the Third Proportional to 67,510 and 147,733

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Solution

The third proportional to 67,510 and 147,733 is: 323,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,510 : 147,733 = 147,733 : x
  2. Step 2: Convert to fraction form
    67,510/147,733 = 147,733/x
  3. Step 3: Cross multiply
    67,510x = 147,733 × 147,733
  4. Step 4: Simplify right side
    67,510x = 21,825,039,289
  5. Step 5: Solve for x
    x = 21,825,039,289/67,510
  6. Step 6: Final answer
    x = 323,286.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.