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Finding the Third Proportional to 83,669.84 and 127,466.79

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Solution

The third proportional to 83,669.84 and 127,466.79 is: 194,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,669.84 : 127,466.79 = 127,466.79 : x
  2. Step 2: Convert to fraction form
    83,669.84/127,466.79 = 127,466.79/x
  3. Step 3: Cross multiply
    83,669.84x = 127,466.79 × 127,466.79
  4. Step 4: Simplify right side
    83,669.84x = 16,247,782,313.90
  5. Step 5: Solve for x
    x = 16,247,782,313.90/83,669.84
  6. Step 6: Final answer
    x = 194,189.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.