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Finding the Third Proportional to 93,839 and 145,520

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Solution

The third proportional to 93,839 and 145,520 is: 225,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,839 : 145,520 = 145,520 : x
  2. Step 2: Convert to fraction form
    93,839/145,520 = 145,520/x
  3. Step 3: Cross multiply
    93,839x = 145,520 × 145,520
  4. Step 4: Simplify right side
    93,839x = 21,176,070,400
  5. Step 5: Solve for x
    x = 21,176,070,400/93,839
  6. Step 6: Final answer
    x = 225,663.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.