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Finding the Third Proportional to 82,741.25 and 127,856.25

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Solution

The third proportional to 82,741.25 and 127,856.25 is: 197,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,741.25 : 127,856.25 = 127,856.25 : x
  2. Step 2: Convert to fraction form
    82,741.25/127,856.25 = 127,856.25/x
  3. Step 3: Cross multiply
    82,741.25x = 127,856.25 × 127,856.25
  4. Step 4: Simplify right side
    82,741.25x = 16,347,220,664.06
  5. Step 5: Solve for x
    x = 16,347,220,664.06/82,741.25
  6. Step 6: Final answer
    x = 197,570.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.