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Finding the Third Proportional to 81,594 and 126,083

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Solution

The third proportional to 81,594 and 126,083 is: 194,829.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,594 : 126,083 = 126,083 : x
  2. Step 2: Convert to fraction form
    81,594/126,083 = 126,083/x
  3. Step 3: Cross multiply
    81,594x = 126,083 × 126,083
  4. Step 4: Simplify right side
    81,594x = 15,896,922,889
  5. Step 5: Solve for x
    x = 15,896,922,889/81,594
  6. Step 6: Final answer
    x = 194,829.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.