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Finding the Third Proportional to 116,102 and 237,124

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Solution

The third proportional to 116,102 and 237,124 is: 484,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,102 : 237,124 = 237,124 : x
  2. Step 2: Convert to fraction form
    116,102/237,124 = 237,124/x
  3. Step 3: Cross multiply
    116,102x = 237,124 × 237,124
  4. Step 4: Simplify right side
    116,102x = 56,227,791,376
  5. Step 5: Solve for x
    x = 56,227,791,376/116,102
  6. Step 6: Final answer
    x = 484,296.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.