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Finding the Third Proportional to 42,240 and 90,138

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Solution

The third proportional to 42,240 and 90,138 is: 192,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,240 : 90,138 = 90,138 : x
  2. Step 2: Convert to fraction form
    42,240/90,138 = 90,138/x
  3. Step 3: Cross multiply
    42,240x = 90,138 × 90,138
  4. Step 4: Simplify right side
    42,240x = 8,124,859,044
  5. Step 5: Solve for x
    x = 8,124,859,044/42,240
  6. Step 6: Final answer
    x = 192,349.88

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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.