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Finding the Third Proportional to 103,826 and 156,435

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Solution

The third proportional to 103,826 and 156,435 is: 235,701.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,826 : 156,435 = 156,435 : x
  2. Step 2: Convert to fraction form
    103,826/156,435 = 156,435/x
  3. Step 3: Cross multiply
    103,826x = 156,435 × 156,435
  4. Step 4: Simplify right side
    103,826x = 24,471,909,225
  5. Step 5: Solve for x
    x = 24,471,909,225/103,826
  6. Step 6: Final answer
    x = 235,701.17

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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.