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Finding the Third Proportional to 93,984 and 138,380

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Solution

The third proportional to 93,984 and 138,380 is: 203,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,984 : 138,380 = 138,380 : x
  2. Step 2: Convert to fraction form
    93,984/138,380 = 138,380/x
  3. Step 3: Cross multiply
    93,984x = 138,380 × 138,380
  4. Step 4: Simplify right side
    93,984x = 19,149,024,400
  5. Step 5: Solve for x
    x = 19,149,024,400/93,984
  6. Step 6: Final answer
    x = 203,747.71

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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.