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Finding the Third Proportional to 76,012 and 117,008

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Solution

The third proportional to 76,012 and 117,008 is: 180,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,012 : 117,008 = 117,008 : x
  2. Step 2: Convert to fraction form
    76,012/117,008 = 117,008/x
  3. Step 3: Cross multiply
    76,012x = 117,008 × 117,008
  4. Step 4: Simplify right side
    76,012x = 13,690,872,064
  5. Step 5: Solve for x
    x = 13,690,872,064/76,012
  6. Step 6: Final answer
    x = 180,114.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.