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Finding the Third Proportional to 127,860.23 and 191,790.33

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Solution

The third proportional to 127,860.23 and 191,790.33 is: 287,685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,860.23 : 191,790.33 = 191,790.33 : x
  2. Step 2: Convert to fraction form
    127,860.23/191,790.33 = 191,790.33/x
  3. Step 3: Cross multiply
    127,860.23x = 191,790.33 × 191,790.33
  4. Step 4: Simplify right side
    127,860.23x = 36,783,529,962.30
  5. Step 5: Solve for x
    x = 36,783,529,962.30/127,860.23
  6. Step 6: Final answer
    x = 287,685.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.