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Finding the Third Proportional to 111,566 and 169,963

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Solution

The third proportional to 111,566 and 169,963 is: 258,926.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,566 : 169,963 = 169,963 : x
  2. Step 2: Convert to fraction form
    111,566/169,963 = 169,963/x
  3. Step 3: Cross multiply
    111,566x = 169,963 × 169,963
  4. Step 4: Simplify right side
    111,566x = 28,887,421,369
  5. Step 5: Solve for x
    x = 28,887,421,369/111,566
  6. Step 6: Final answer
    x = 258,926.75

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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.