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Finding the Third Proportional to 62,230 and 92,368

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Solution

The third proportional to 62,230 and 92,368 is: 137,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,230 : 92,368 = 92,368 : x
  2. Step 2: Convert to fraction form
    62,230/92,368 = 92,368/x
  3. Step 3: Cross multiply
    62,230x = 92,368 × 92,368
  4. Step 4: Simplify right side
    62,230x = 8,531,847,424
  5. Step 5: Solve for x
    x = 8,531,847,424/62,230
  6. Step 6: Final answer
    x = 137,101.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.