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Finding the Third Proportional to 116,762 and 166,394

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Solution

The third proportional to 116,762 and 166,394 is: 237,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,762 : 166,394 = 166,394 : x
  2. Step 2: Convert to fraction form
    116,762/166,394 = 166,394/x
  3. Step 3: Cross multiply
    116,762x = 166,394 × 166,394
  4. Step 4: Simplify right side
    116,762x = 27,686,963,236
  5. Step 5: Solve for x
    x = 27,686,963,236/116,762
  6. Step 6: Final answer
    x = 237,123.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.