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Finding the Third Proportional to 104,428 and 156,186

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Solution

The third proportional to 104,428 and 156,186 is: 233,596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,428 : 156,186 = 156,186 : x
  2. Step 2: Convert to fraction form
    104,428/156,186 = 156,186/x
  3. Step 3: Cross multiply
    104,428x = 156,186 × 156,186
  4. Step 4: Simplify right side
    104,428x = 24,394,066,596
  5. Step 5: Solve for x
    x = 24,394,066,596/104,428
  6. Step 6: Final answer
    x = 233,596.99

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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.