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Finding the Third Proportional to 93,414 and 125,863

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Solution

The third proportional to 93,414 and 125,863 is: 169,583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,414 : 125,863 = 125,863 : x
  2. Step 2: Convert to fraction form
    93,414/125,863 = 125,863/x
  3. Step 3: Cross multiply
    93,414x = 125,863 × 125,863
  4. Step 4: Simplify right side
    93,414x = 15,841,494,769
  5. Step 5: Solve for x
    x = 15,841,494,769/93,414
  6. Step 6: Final answer
    x = 169,583.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.