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Finding the Third Proportional to 106,524 and 233,091

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Solution

The third proportional to 106,524 and 233,091 is: 510,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,524 : 233,091 = 233,091 : x
  2. Step 2: Convert to fraction form
    106,524/233,091 = 233,091/x
  3. Step 3: Cross multiply
    106,524x = 233,091 × 233,091
  4. Step 4: Simplify right side
    106,524x = 54,331,414,281
  5. Step 5: Solve for x
    x = 54,331,414,281/106,524
  6. Step 6: Final answer
    x = 510,039.19

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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.