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Finding the Third Proportional to 101,973.75 and 239,988.75

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Solution

The third proportional to 101,973.75 and 239,988.75 is: 564,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,973.75 : 239,988.75 = 239,988.75 : x
  2. Step 2: Convert to fraction form
    101,973.75/239,988.75 = 239,988.75/x
  3. Step 3: Cross multiply
    101,973.75x = 239,988.75 × 239,988.75
  4. Step 4: Simplify right side
    101,973.75x = 57,594,600,126.56
  5. Step 5: Solve for x
    x = 57,594,600,126.56/101,973.75
  6. Step 6: Final answer
    x = 564,798.29

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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.