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Finding the Third Proportional to 141,321.80 and 191,904.61

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Solution

The third proportional to 141,321.80 and 191,904.61 is: 260,592.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,321.80 : 191,904.61 = 191,904.61 : x
  2. Step 2: Convert to fraction form
    141,321.80/191,904.61 = 191,904.61/x
  3. Step 3: Cross multiply
    141,321.80x = 191,904.61 × 191,904.61
  4. Step 4: Simplify right side
    141,321.80x = 36,827,379,099.37
  5. Step 5: Solve for x
    x = 36,827,379,099.37/141,321.80
  6. Step 6: Final answer
    x = 260,592.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.