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Finding the Third Proportional to 101,569 and 235,100

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Solution

The third proportional to 101,569 and 235,100 is: 544,181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,569 : 235,100 = 235,100 : x
  2. Step 2: Convert to fraction form
    101,569/235,100 = 235,100/x
  3. Step 3: Cross multiply
    101,569x = 235,100 × 235,100
  4. Step 4: Simplify right side
    101,569x = 55,272,010,000
  5. Step 5: Solve for x
    x = 55,272,010,000/101,569
  6. Step 6: Final answer
    x = 544,181.89

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.