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Finding the Third Proportional to 104,823 and 156,871

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Solution

The third proportional to 104,823 and 156,871 is: 234,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,823 : 156,871 = 156,871 : x
  2. Step 2: Convert to fraction form
    104,823/156,871 = 156,871/x
  3. Step 3: Cross multiply
    104,823x = 156,871 × 156,871
  4. Step 4: Simplify right side
    104,823x = 24,608,510,641
  5. Step 5: Solve for x
    x = 24,608,510,641/104,823
  6. Step 6: Final answer
    x = 234,762.51

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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.