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Finding the Third Proportional to 76,063 and 118,393

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Solution

The third proportional to 76,063 and 118,393 is: 184,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,063 : 118,393 = 118,393 : x
  2. Step 2: Convert to fraction form
    76,063/118,393 = 118,393/x
  3. Step 3: Cross multiply
    76,063x = 118,393 × 118,393
  4. Step 4: Simplify right side
    76,063x = 14,016,902,449
  5. Step 5: Solve for x
    x = 14,016,902,449/76,063
  6. Step 6: Final answer
    x = 184,280.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.