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Finding the Third Proportional to 127,383.75 and 191,054.25

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Solution

The third proportional to 127,383.75 and 191,054.25 is: 286,549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,383.75 : 191,054.25 = 191,054.25 : x
  2. Step 2: Convert to fraction form
    127,383.75/191,054.25 = 191,054.25/x
  3. Step 3: Cross multiply
    127,383.75x = 191,054.25 × 191,054.25
  4. Step 4: Simplify right side
    127,383.75x = 36,501,726,443.06
  5. Step 5: Solve for x
    x = 36,501,726,443.06/127,383.75
  6. Step 6: Final answer
    x = 286,549.32

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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.