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Finding the Third Proportional to 111,080 and 243,769

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Solution

The third proportional to 111,080 and 243,769 is: 534,959.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,080 : 243,769 = 243,769 : x
  2. Step 2: Convert to fraction form
    111,080/243,769 = 243,769/x
  3. Step 3: Cross multiply
    111,080x = 243,769 × 243,769
  4. Step 4: Simplify right side
    111,080x = 59,423,325,361
  5. Step 5: Solve for x
    x = 59,423,325,361/111,080
  6. Step 6: Final answer
    x = 534,959.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.