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Finding the Third Proportional to 106,121 and 232,654

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Solution

The third proportional to 106,121 and 232,654 is: 510,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,121 : 232,654 = 232,654 : x
  2. Step 2: Convert to fraction form
    106,121/232,654 = 232,654/x
  3. Step 3: Cross multiply
    106,121x = 232,654 × 232,654
  4. Step 4: Simplify right side
    106,121x = 54,127,883,716
  5. Step 5: Solve for x
    x = 54,127,883,716/106,121
  6. Step 6: Final answer
    x = 510,058.18

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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.