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Finding the Third Proportional to 42,523 and 93,103

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Solution

The third proportional to 42,523 and 93,103 is: 203,846.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,523 : 93,103 = 93,103 : x
  2. Step 2: Convert to fraction form
    42,523/93,103 = 93,103/x
  3. Step 3: Cross multiply
    42,523x = 93,103 × 93,103
  4. Step 4: Simplify right side
    42,523x = 8,668,168,609
  5. Step 5: Solve for x
    x = 8,668,168,609/42,523
  6. Step 6: Final answer
    x = 203,846.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.