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Finding the Third Proportional to 109,569 and 164,353

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Solution

The third proportional to 109,569 and 164,353 is: 246,528.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,569 : 164,353 = 164,353 : x
  2. Step 2: Convert to fraction form
    109,569/164,353 = 164,353/x
  3. Step 3: Cross multiply
    109,569x = 164,353 × 164,353
  4. Step 4: Simplify right side
    109,569x = 27,011,908,609
  5. Step 5: Solve for x
    x = 27,011,908,609/109,569
  6. Step 6: Final answer
    x = 246,528.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.