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Finding the Third Proportional to 42,828.75 and 101,239.88

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Solution

The third proportional to 42,828.75 and 101,239.88 is: 239,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,828.75 : 101,239.88 = 101,239.88 : x
  2. Step 2: Convert to fraction form
    42,828.75/101,239.88 = 101,239.88/x
  3. Step 3: Cross multiply
    42,828.75x = 101,239.88 × 101,239.88
  4. Step 4: Simplify right side
    42,828.75x = 10,249,512,290.02
  5. Step 5: Solve for x
    x = 10,249,512,290.02/42,828.75
  6. Step 6: Final answer
    x = 239,313.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.