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Finding the Third Proportional to 42,102 and 90,040

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Solution

The third proportional to 42,102 and 90,040 is: 192,560.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,102 : 90,040 = 90,040 : x
  2. Step 2: Convert to fraction form
    42,102/90,040 = 90,040/x
  3. Step 3: Cross multiply
    42,102x = 90,040 × 90,040
  4. Step 4: Simplify right side
    42,102x = 8,107,201,600
  5. Step 5: Solve for x
    x = 8,107,201,600/42,102
  6. Step 6: Final answer
    x = 192,560.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.