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Finding the Third Proportional to 68,984 and 147,809

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Solution

The third proportional to 68,984 and 147,809 is: 316,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,984 : 147,809 = 147,809 : x
  2. Step 2: Convert to fraction form
    68,984/147,809 = 147,809/x
  3. Step 3: Cross multiply
    68,984x = 147,809 × 147,809
  4. Step 4: Simplify right side
    68,984x = 21,847,500,481
  5. Step 5: Solve for x
    x = 21,847,500,481/68,984
  6. Step 6: Final answer
    x = 316,703.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.