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Finding the Third Proportional to 62,188 and 134,200

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Solution

The third proportional to 62,188 and 134,200 is: 289,599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,188 : 134,200 = 134,200 : x
  2. Step 2: Convert to fraction form
    62,188/134,200 = 134,200/x
  3. Step 3: Cross multiply
    62,188x = 134,200 × 134,200
  4. Step 4: Simplify right side
    62,188x = 18,009,640,000
  5. Step 5: Solve for x
    x = 18,009,640,000/62,188
  6. Step 6: Final answer
    x = 289,599.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.