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Finding the Third Proportional to 59,808 and 90,384

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Solution

The third proportional to 59,808 and 90,384 is: 136,591.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,808 : 90,384 = 90,384 : x
  2. Step 2: Convert to fraction form
    59,808/90,384 = 90,384/x
  3. Step 3: Cross multiply
    59,808x = 90,384 × 90,384
  4. Step 4: Simplify right side
    59,808x = 8,169,267,456
  5. Step 5: Solve for x
    x = 8,169,267,456/59,808
  6. Step 6: Final answer
    x = 136,591.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.