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Finding the Third Proportional to 127,853.44 and 191,780.16

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Solution

The third proportional to 127,853.44 and 191,780.16 is: 287,670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,853.44 : 191,780.16 = 191,780.16 : x
  2. Step 2: Convert to fraction form
    127,853.44/191,780.16 = 191,780.16/x
  3. Step 3: Cross multiply
    127,853.44x = 191,780.16 × 191,780.16
  4. Step 4: Simplify right side
    127,853.44x = 36,779,628,331.27
  5. Step 5: Solve for x
    x = 36,779,628,331.27/127,853.44
  6. Step 6: Final answer
    x = 287,670.23

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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.