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Finding the Third Proportional to 56,968.50 and 84,987

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Solution

The third proportional to 56,968.50 and 84,987 is: 126,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,968.50 : 84,987 = 84,987 : x
  2. Step 2: Convert to fraction form
    56,968.50/84,987 = 84,987/x
  3. Step 3: Cross multiply
    56,968.50x = 84,987 × 84,987
  4. Step 4: Simplify right side
    56,968.50x = 7,222,790,169
  5. Step 5: Solve for x
    x = 7,222,790,169/56,968.50
  6. Step 6: Final answer
    x = 126,785.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.