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Finding the Third Proportional to 106,530 and 233,106

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Solution

The third proportional to 106,530 and 233,106 is: 510,076.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,530 : 233,106 = 233,106 : x
  2. Step 2: Convert to fraction form
    106,530/233,106 = 233,106/x
  3. Step 3: Cross multiply
    106,530x = 233,106 × 233,106
  4. Step 4: Simplify right side
    106,530x = 54,338,407,236
  5. Step 5: Solve for x
    x = 54,338,407,236/106,530
  6. Step 6: Final answer
    x = 510,076.10

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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.