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Finding the Third Proportional to 59,887 and 99,805

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Solution

The third proportional to 59,887 and 99,805 is: 166,330.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,887 : 99,805 = 99,805 : x
  2. Step 2: Convert to fraction form
    59,887/99,805 = 99,805/x
  3. Step 3: Cross multiply
    59,887x = 99,805 × 99,805
  4. Step 4: Simplify right side
    59,887x = 9,961,038,025
  5. Step 5: Solve for x
    x = 9,961,038,025/59,887
  6. Step 6: Final answer
    x = 166,330.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.