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Finding the Third Proportional to 101,532 and 234,006

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Solution

The third proportional to 101,532 and 234,006 is: 539,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,532 : 234,006 = 234,006 : x
  2. Step 2: Convert to fraction form
    101,532/234,006 = 234,006/x
  3. Step 3: Cross multiply
    101,532x = 234,006 × 234,006
  4. Step 4: Simplify right side
    101,532x = 54,758,808,036
  5. Step 5: Solve for x
    x = 54,758,808,036/101,532
  6. Step 6: Final answer
    x = 539,325.61

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.