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Finding the Third Proportional to 42,904.69 and 100,225.69

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Solution

The third proportional to 42,904.69 and 100,225.69 is: 234,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,904.69 : 100,225.69 = 100,225.69 : x
  2. Step 2: Convert to fraction form
    42,904.69/100,225.69 = 100,225.69/x
  3. Step 3: Cross multiply
    42,904.69x = 100,225.69 × 100,225.69
  4. Step 4: Simplify right side
    42,904.69x = 10,045,188,434.85
  5. Step 5: Solve for x
    x = 10,045,188,434.85/42,904.69
  6. Step 6: Final answer
    x = 234,127.99

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.