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Finding the Third Proportional to 85,184 and 127,775

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Solution

The third proportional to 85,184 and 127,775 is: 191,661.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,184 : 127,775 = 127,775 : x
  2. Step 2: Convert to fraction form
    85,184/127,775 = 127,775/x
  3. Step 3: Cross multiply
    85,184x = 127,775 × 127,775
  4. Step 4: Simplify right side
    85,184x = 16,326,450,625
  5. Step 5: Solve for x
    x = 16,326,450,625/85,184
  6. Step 6: Final answer
    x = 191,661.00

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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.