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Finding the Third Proportional to 104,120 and 156,396

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Solution

The third proportional to 104,120 and 156,396 is: 234,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,120 : 156,396 = 156,396 : x
  2. Step 2: Convert to fraction form
    104,120/156,396 = 156,396/x
  3. Step 3: Cross multiply
    104,120x = 156,396 × 156,396
  4. Step 4: Simplify right side
    104,120x = 24,459,708,816
  5. Step 5: Solve for x
    x = 24,459,708,816/104,120
  6. Step 6: Final answer
    x = 234,918.45

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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.