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Finding the Third Proportional to 111,818 and 179,553

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Solution

The third proportional to 111,818 and 179,553 is: 288,319.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,818 : 179,553 = 179,553 : x
  2. Step 2: Convert to fraction form
    111,818/179,553 = 179,553/x
  3. Step 3: Cross multiply
    111,818x = 179,553 × 179,553
  4. Step 4: Simplify right side
    111,818x = 32,239,279,809
  5. Step 5: Solve for x
    x = 32,239,279,809/111,818
  6. Step 6: Final answer
    x = 288,319.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.