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Finding the Third Proportional to 85,237.13 and 127,855.69

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Solution

The third proportional to 85,237.13 and 127,855.69 is: 191,783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,237.13 : 127,855.69 = 127,855.69 : x
  2. Step 2: Convert to fraction form
    85,237.13/127,855.69 = 127,855.69/x
  3. Step 3: Cross multiply
    85,237.13x = 127,855.69 × 127,855.69
  4. Step 4: Simplify right side
    85,237.13x = 16,347,076,826.10
  5. Step 5: Solve for x
    x = 16,347,076,826.10/85,237.13
  6. Step 6: Final answer
    x = 191,783.53

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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.