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Finding the Third Proportional to 111,565 and 169,964

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Solution

The third proportional to 111,565 and 169,964 is: 258,932.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,565 : 169,964 = 169,964 : x
  2. Step 2: Convert to fraction form
    111,565/169,964 = 169,964/x
  3. Step 3: Cross multiply
    111,565x = 169,964 × 169,964
  4. Step 4: Simplify right side
    111,565x = 28,887,761,296
  5. Step 5: Solve for x
    x = 28,887,761,296/111,565
  6. Step 6: Final answer
    x = 258,932.11

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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.