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Finding the Third Proportional to 109,080 and 237,868

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Solution

The third proportional to 109,080 and 237,868 is: 518,712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,080 : 237,868 = 237,868 : x
  2. Step 2: Convert to fraction form
    109,080/237,868 = 237,868/x
  3. Step 3: Cross multiply
    109,080x = 237,868 × 237,868
  4. Step 4: Simplify right side
    109,080x = 56,581,185,424
  5. Step 5: Solve for x
    x = 56,581,185,424/109,080
  6. Step 6: Final answer
    x = 518,712.74

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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.