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Finding the Third Proportional to 127,525.50 and 187,399.13

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Solution

The third proportional to 127,525.50 and 187,399.13 is: 275,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,525.50 : 187,399.13 = 187,399.13 : x
  2. Step 2: Convert to fraction form
    127,525.50/187,399.13 = 187,399.13/x
  3. Step 3: Cross multiply
    127,525.50x = 187,399.13 × 187,399.13
  4. Step 4: Simplify right side
    127,525.50x = 35,118,432,050.77
  5. Step 5: Solve for x
    x = 35,118,432,050.77/127,525.50
  6. Step 6: Final answer
    x = 275,383.61

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