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Finding the Third Proportional to 93,692 and 142,887

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Solution

The third proportional to 93,692 and 142,887 is: 217,912.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,692 : 142,887 = 142,887 : x
  2. Step 2: Convert to fraction form
    93,692/142,887 = 142,887/x
  3. Step 3: Cross multiply
    93,692x = 142,887 × 142,887
  4. Step 4: Simplify right side
    93,692x = 20,416,694,769
  5. Step 5: Solve for x
    x = 20,416,694,769/93,692
  6. Step 6: Final answer
    x = 217,912.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.