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Finding the Third Proportional to 59,601 and 90,008

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Solution

The third proportional to 59,601 and 90,008 is: 135,927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,601 : 90,008 = 90,008 : x
  2. Step 2: Convert to fraction form
    59,601/90,008 = 90,008/x
  3. Step 3: Cross multiply
    59,601x = 90,008 × 90,008
  4. Step 4: Simplify right side
    59,601x = 8,101,440,064
  5. Step 5: Solve for x
    x = 8,101,440,064/59,601
  6. Step 6: Final answer
    x = 135,927.92

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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.