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Finding the Third Proportional to 42,699 and 72,795

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Solution

The third proportional to 42,699 and 72,795 is: 124,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,699 : 72,795 = 72,795 : x
  2. Step 2: Convert to fraction form
    42,699/72,795 = 72,795/x
  3. Step 3: Cross multiply
    42,699x = 72,795 × 72,795
  4. Step 4: Simplify right side
    42,699x = 5,299,112,025
  5. Step 5: Solve for x
    x = 5,299,112,025/42,699
  6. Step 6: Final answer
    x = 124,103.89

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.