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Finding the Third Proportional to 56,206.50 and 84,679.50

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Solution

The third proportional to 56,206.50 and 84,679.50 is: 127,576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,206.50 : 84,679.50 = 84,679.50 : x
  2. Step 2: Convert to fraction form
    56,206.50/84,679.50 = 84,679.50/x
  3. Step 3: Cross multiply
    56,206.50x = 84,679.50 × 84,679.50
  4. Step 4: Simplify right side
    56,206.50x = 7,170,617,720.25
  5. Step 5: Solve for x
    x = 7,170,617,720.25/56,206.50
  6. Step 6: Final answer
    x = 127,576.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.