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Finding the Third Proportional to 93,847 and 138,282

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Solution

The third proportional to 93,847 and 138,282 is: 203,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,847 : 138,282 = 138,282 : x
  2. Step 2: Convert to fraction form
    93,847/138,282 = 138,282/x
  3. Step 3: Cross multiply
    93,847x = 138,282 × 138,282
  4. Step 4: Simplify right side
    93,847x = 19,121,911,524
  5. Step 5: Solve for x
    x = 19,121,911,524/93,847
  6. Step 6: Final answer
    x = 203,756.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.