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Finding the Third Proportional to 42,386 and 90,250

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Solution

The third proportional to 42,386 and 90,250 is: 192,163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,386 : 90,250 = 90,250 : x
  2. Step 2: Convert to fraction form
    42,386/90,250 = 90,250/x
  3. Step 3: Cross multiply
    42,386x = 90,250 × 90,250
  4. Step 4: Simplify right side
    42,386x = 8,145,062,500
  5. Step 5: Solve for x
    x = 8,145,062,500/42,386
  6. Step 6: Final answer
    x = 192,163.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.