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Finding the Third Proportional to 86,857.50 and 137,647.13

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Solution

The third proportional to 86,857.50 and 137,647.13 is: 218,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,857.50 : 137,647.13 = 137,647.13 : x
  2. Step 2: Convert to fraction form
    86,857.50/137,647.13 = 137,647.13/x
  3. Step 3: Cross multiply
    86,857.50x = 137,647.13 × 137,647.13
  4. Step 4: Simplify right side
    86,857.50x = 18,946,731,020.77
  5. Step 5: Solve for x
    x = 18,946,731,020.77/86,857.50
  6. Step 6: Final answer
    x = 218,135.81

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.