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Finding the Third Proportional to 106,902 and 232,020

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Solution

The third proportional to 106,902 and 232,020 is: 503,575.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,902 : 232,020 = 232,020 : x
  2. Step 2: Convert to fraction form
    106,902/232,020 = 232,020/x
  3. Step 3: Cross multiply
    106,902x = 232,020 × 232,020
  4. Step 4: Simplify right side
    106,902x = 53,833,280,400
  5. Step 5: Solve for x
    x = 53,833,280,400/106,902
  6. Step 6: Final answer
    x = 503,575.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.