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Finding the Third Proportional to 76,808 and 116,285

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Solution

The third proportional to 76,808 and 116,285 is: 176,051.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,808 : 116,285 = 116,285 : x
  2. Step 2: Convert to fraction form
    76,808/116,285 = 116,285/x
  3. Step 3: Cross multiply
    76,808x = 116,285 × 116,285
  4. Step 4: Simplify right side
    76,808x = 13,522,201,225
  5. Step 5: Solve for x
    x = 13,522,201,225/76,808
  6. Step 6: Final answer
    x = 176,051.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.