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Finding the Third Proportional to 66,150 and 156,124

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Solution

The third proportional to 66,150 and 156,124 is: 368,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,150 : 156,124 = 156,124 : x
  2. Step 2: Convert to fraction form
    66,150/156,124 = 156,124/x
  3. Step 3: Cross multiply
    66,150x = 156,124 × 156,124
  4. Step 4: Simplify right side
    66,150x = 24,374,703,376
  5. Step 5: Solve for x
    x = 24,374,703,376/66,150
  6. Step 6: Final answer
    x = 368,476.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.