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Finding the Third Proportional to 67,573 and 147,579

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Solution

The third proportional to 67,573 and 147,579 is: 322,311.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,573 : 147,579 = 147,579 : x
  2. Step 2: Convert to fraction form
    67,573/147,579 = 147,579/x
  3. Step 3: Cross multiply
    67,573x = 147,579 × 147,579
  4. Step 4: Simplify right side
    67,573x = 21,779,561,241
  5. Step 5: Solve for x
    x = 21,779,561,241/67,573
  6. Step 6: Final answer
    x = 322,311.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.