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Finding the Third Proportional to 85,394.25 and 127,628.16

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Solution

The third proportional to 85,394.25 and 127,628.16 is: 190,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,394.25 : 127,628.16 = 127,628.16 : x
  2. Step 2: Convert to fraction form
    85,394.25/127,628.16 = 127,628.16/x
  3. Step 3: Cross multiply
    85,394.25x = 127,628.16 × 127,628.16
  4. Step 4: Simplify right side
    85,394.25x = 16,288,946,267.77
  5. Step 5: Solve for x
    x = 16,288,946,267.77/85,394.25
  6. Step 6: Final answer
    x = 190,749.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.