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Finding the Third Proportional to 93,542 and 142,648

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Solution

The third proportional to 93,542 and 142,648 is: 217,532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,542 : 142,648 = 142,648 : x
  2. Step 2: Convert to fraction form
    93,542/142,648 = 142,648/x
  3. Step 3: Cross multiply
    93,542x = 142,648 × 142,648
  4. Step 4: Simplify right side
    93,542x = 20,348,451,904
  5. Step 5: Solve for x
    x = 20,348,451,904/93,542
  6. Step 6: Final answer
    x = 217,532.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.