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Finding the Third Proportional to 93,932 and 145,704

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Solution

The third proportional to 93,932 and 145,704 is: 226,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,932 : 145,704 = 145,704 : x
  2. Step 2: Convert to fraction form
    93,932/145,704 = 145,704/x
  3. Step 3: Cross multiply
    93,932x = 145,704 × 145,704
  4. Step 4: Simplify right side
    93,932x = 21,229,655,616
  5. Step 5: Solve for x
    x = 21,229,655,616/93,932
  6. Step 6: Final answer
    x = 226,010.90

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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.