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Finding the Third Proportional to 133,455 and 156,983.25

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Solution

The third proportional to 133,455 and 156,983.25 is: 184,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,455 : 156,983.25 = 156,983.25 : x
  2. Step 2: Convert to fraction form
    133,455/156,983.25 = 156,983.25/x
  3. Step 3: Cross multiply
    133,455x = 156,983.25 × 156,983.25
  4. Step 4: Simplify right side
    133,455x = 24,643,740,780.56
  5. Step 5: Solve for x
    x = 24,643,740,780.56/133,455
  6. Step 6: Final answer
    x = 184,659.55

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.