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Finding the Third Proportional to 42,128 and 90,604

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Solution

The third proportional to 42,128 and 90,604 is: 194,860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,128 : 90,604 = 90,604 : x
  2. Step 2: Convert to fraction form
    42,128/90,604 = 90,604/x
  3. Step 3: Cross multiply
    42,128x = 90,604 × 90,604
  4. Step 4: Simplify right side
    42,128x = 8,209,084,816
  5. Step 5: Solve for x
    x = 8,209,084,816/42,128
  6. Step 6: Final answer
    x = 194,860.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.