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Finding the Third Proportional to 86,410.13 and 126,790.31

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Solution

The third proportional to 86,410.13 and 126,790.31 is: 186,040.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,410.13 : 126,790.31 = 126,790.31 : x
  2. Step 2: Convert to fraction form
    86,410.13/126,790.31 = 126,790.31/x
  3. Step 3: Cross multiply
    86,410.13x = 126,790.31 × 126,790.31
  4. Step 4: Simplify right side
    86,410.13x = 16,075,783,343.85
  5. Step 5: Solve for x
    x = 16,075,783,343.85/86,410.13
  6. Step 6: Final answer
    x = 186,040.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.