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Finding the Third Proportional to 76,664.25 and 116,380.13

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Solution

The third proportional to 76,664.25 and 116,380.13 is: 176,670.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,664.25 : 116,380.13 = 116,380.13 : x
  2. Step 2: Convert to fraction form
    76,664.25/116,380.13 = 116,380.13/x
  3. Step 3: Cross multiply
    76,664.25x = 116,380.13 × 116,380.13
  4. Step 4: Simplify right side
    76,664.25x = 13,544,333,495.02
  5. Step 5: Solve for x
    x = 13,544,333,495.02/76,664.25
  6. Step 6: Final answer
    x = 176,670.79

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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.