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Finding the Third Proportional to 67,298 and 147,863

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Solution

The third proportional to 67,298 and 147,863 is: 324,875.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,298 : 147,863 = 147,863 : x
  2. Step 2: Convert to fraction form
    67,298/147,863 = 147,863/x
  3. Step 3: Cross multiply
    67,298x = 147,863 × 147,863
  4. Step 4: Simplify right side
    67,298x = 21,863,466,769
  5. Step 5: Solve for x
    x = 21,863,466,769/67,298
  6. Step 6: Final answer
    x = 324,875.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.