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Finding the Third Proportional to 56,677.50 and 85,027.50

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Solution

The third proportional to 56,677.50 and 85,027.50 is: 127,558.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,677.50 : 85,027.50 = 85,027.50 : x
  2. Step 2: Convert to fraction form
    56,677.50/85,027.50 = 85,027.50/x
  3. Step 3: Cross multiply
    56,677.50x = 85,027.50 × 85,027.50
  4. Step 4: Simplify right side
    56,677.50x = 7,229,675,756.25
  5. Step 5: Solve for x
    x = 7,229,675,756.25/56,677.50
  6. Step 6: Final answer
    x = 127,558.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.