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Finding the Third Proportional to 104,485 and 156,727

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Solution

The third proportional to 104,485 and 156,727 is: 235,089.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,485 : 156,727 = 156,727 : x
  2. Step 2: Convert to fraction form
    104,485/156,727 = 156,727/x
  3. Step 3: Cross multiply
    104,485x = 156,727 × 156,727
  4. Step 4: Simplify right side
    104,485x = 24,563,352,529
  5. Step 5: Solve for x
    x = 24,563,352,529/104,485
  6. Step 6: Final answer
    x = 235,089.75

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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.