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Finding the Third Proportional to 111,023 and 169,298

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Solution

The third proportional to 111,023 and 169,298 is: 258,161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,023 : 169,298 = 169,298 : x
  2. Step 2: Convert to fraction form
    111,023/169,298 = 169,298/x
  3. Step 3: Cross multiply
    111,023x = 169,298 × 169,298
  4. Step 4: Simplify right side
    111,023x = 28,661,812,804
  5. Step 5: Solve for x
    x = 28,661,812,804/111,023
  6. Step 6: Final answer
    x = 258,161.04

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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.