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Finding the Third Proportional to 101,913 and 239,795.25

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Solution

The third proportional to 101,913 and 239,795.25 is: 564,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,913 : 239,795.25 = 239,795.25 : x
  2. Step 2: Convert to fraction form
    101,913/239,795.25 = 239,795.25/x
  3. Step 3: Cross multiply
    101,913x = 239,795.25 × 239,795.25
  4. Step 4: Simplify right side
    101,913x = 57,501,761,922.56
  5. Step 5: Solve for x
    x = 57,501,761,922.56/101,913
  6. Step 6: Final answer
    x = 564,224.01

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.