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Finding the Third Proportional to 86,010.19 and 112,399.31

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Solution

The third proportional to 86,010.19 and 112,399.31 is: 146,884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,010.19 : 112,399.31 = 112,399.31 : x
  2. Step 2: Convert to fraction form
    86,010.19/112,399.31 = 112,399.31/x
  3. Step 3: Cross multiply
    86,010.19x = 112,399.31 × 112,399.31
  4. Step 4: Simplify right side
    86,010.19x = 12,633,605,450.47
  5. Step 5: Solve for x
    x = 12,633,605,450.47/86,010.19
  6. Step 6: Final answer
    x = 146,884.99

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.