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Finding the Third Proportional to 76,337 and 116,772

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Solution

The third proportional to 76,337 and 116,772 is: 178,625.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,337 : 116,772 = 116,772 : x
  2. Step 2: Convert to fraction form
    76,337/116,772 = 116,772/x
  3. Step 3: Cross multiply
    76,337x = 116,772 × 116,772
  4. Step 4: Simplify right side
    76,337x = 13,635,699,984
  5. Step 5: Solve for x
    x = 13,635,699,984/76,337
  6. Step 6: Final answer
    x = 178,625.04

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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.