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Finding the Third Proportional to 67,584 and 156,627

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Solution

The third proportional to 67,584 and 156,627 is: 362,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,584 : 156,627 = 156,627 : x
  2. Step 2: Convert to fraction form
    67,584/156,627 = 156,627/x
  3. Step 3: Cross multiply
    67,584x = 156,627 × 156,627
  4. Step 4: Simplify right side
    67,584x = 24,532,017,129
  5. Step 5: Solve for x
    x = 24,532,017,129/67,584
  6. Step 6: Final answer
    x = 362,985.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.