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Finding the Third Proportional to 82,113.75 and 118,659.94

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Solution

The third proportional to 82,113.75 and 118,659.94 is: 171,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,113.75 : 118,659.94 = 118,659.94 : x
  2. Step 2: Convert to fraction form
    82,113.75/118,659.94 = 118,659.94/x
  3. Step 3: Cross multiply
    82,113.75x = 118,659.94 × 118,659.94
  4. Step 4: Simplify right side
    82,113.75x = 14,080,180,767.50
  5. Step 5: Solve for x
    x = 14,080,180,767.50/82,113.75
  6. Step 6: Final answer
    x = 171,471.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.