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Finding the Third Proportional to 109,053 and 237,843

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Solution

The third proportional to 109,053 and 237,843 is: 518,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,053 : 237,843 = 237,843 : x
  2. Step 2: Convert to fraction form
    109,053/237,843 = 237,843/x
  3. Step 3: Cross multiply
    109,053x = 237,843 × 237,843
  4. Step 4: Simplify right side
    109,053x = 56,569,292,649
  5. Step 5: Solve for x
    x = 56,569,292,649/109,053
  6. Step 6: Final answer
    x = 518,732.11

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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.