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Finding the Third Proportional to 56,083.50 and 86,203.50

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Solution

The third proportional to 56,083.50 and 86,203.50 is: 132,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,083.50 : 86,203.50 = 86,203.50 : x
  2. Step 2: Convert to fraction form
    56,083.50/86,203.50 = 86,203.50/x
  3. Step 3: Cross multiply
    56,083.50x = 86,203.50 × 86,203.50
  4. Step 4: Simplify right side
    56,083.50x = 7,431,043,412.25
  5. Step 5: Solve for x
    x = 7,431,043,412.25/56,083.50
  6. Step 6: Final answer
    x = 132,499.64

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.