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Finding the Third Proportional to 59,555 and 90,426

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Solution

The third proportional to 59,555 and 90,426 is: 137,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,555 : 90,426 = 90,426 : x
  2. Step 2: Convert to fraction form
    59,555/90,426 = 90,426/x
  3. Step 3: Cross multiply
    59,555x = 90,426 × 90,426
  4. Step 4: Simplify right side
    59,555x = 8,176,861,476
  5. Step 5: Solve for x
    x = 8,176,861,476/59,555
  6. Step 6: Final answer
    x = 137,299.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.