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Finding the Third Proportional to 111,698 and 243,124

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Solution

The third proportional to 111,698 and 243,124 is: 529,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,698 : 243,124 = 243,124 : x
  2. Step 2: Convert to fraction form
    111,698/243,124 = 243,124/x
  3. Step 3: Cross multiply
    111,698x = 243,124 × 243,124
  4. Step 4: Simplify right side
    111,698x = 59,109,279,376
  5. Step 5: Solve for x
    x = 59,109,279,376/111,698
  6. Step 6: Final answer
    x = 529,188.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.