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

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Solution

The third proportional to 76,772 and 116,337 is: 176,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,772 : 116,337 = 116,337 : x
  2. Step 2: Convert to fraction form
    76,772/116,337 = 116,337/x
  3. Step 3: Cross multiply
    76,772x = 116,337 × 116,337
  4. Step 4: Simplify right side
    76,772x = 13,534,297,569
  5. Step 5: Solve for x
    x = 13,534,297,569/76,772
  6. Step 6: Final answer
    x = 176,292.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.