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Finding the Third Proportional to 68,964 and 103,446

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Solution

The third proportional to 68,964 and 103,446 is: 155,169

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,964 : 103,446 = 103,446 : x
  2. Step 2: Convert to fraction form
    68,964/103,446 = 103,446/x
  3. Step 3: Cross multiply
    68,964x = 103,446 × 103,446
  4. Step 4: Simplify right side
    68,964x = 10,701,074,916
  5. Step 5: Solve for x
    x = 10,701,074,916/68,964
  6. Step 6: Final answer
    x = 155,169

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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.