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Finding the Third Proportional to 56,833.50 and 119,559

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Solution

The third proportional to 56,833.50 and 119,559 is: 251,512.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,833.50 : 119,559 = 119,559 : x
  2. Step 2: Convert to fraction form
    56,833.50/119,559 = 119,559/x
  3. Step 3: Cross multiply
    56,833.50x = 119,559 × 119,559
  4. Step 4: Simplify right side
    56,833.50x = 14,294,354,481
  5. Step 5: Solve for x
    x = 14,294,354,481/56,833.50
  6. Step 6: Final answer
    x = 251,512.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.