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Finding the Third Proportional to 69,363 and 104,774

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Solution

The third proportional to 69,363 and 104,774 is: 158,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,363 : 104,774 = 104,774 : x
  2. Step 2: Convert to fraction form
    69,363/104,774 = 104,774/x
  3. Step 3: Cross multiply
    69,363x = 104,774 × 104,774
  4. Step 4: Simplify right side
    69,363x = 10,977,591,076
  5. Step 5: Solve for x
    x = 10,977,591,076/69,363
  6. Step 6: Final answer
    x = 158,262.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.