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Finding the Third Proportional to 85,237.50 and 127,855.50

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Solution

The third proportional to 85,237.50 and 127,855.50 is: 191,782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,237.50 : 127,855.50 = 127,855.50 : x
  2. Step 2: Convert to fraction form
    85,237.50/127,855.50 = 127,855.50/x
  3. Step 3: Cross multiply
    85,237.50x = 127,855.50 × 127,855.50
  4. Step 4: Simplify right side
    85,237.50x = 16,347,028,880.25
  5. Step 5: Solve for x
    x = 16,347,028,880.25/85,237.50
  6. Step 6: Final answer
    x = 191,782.13

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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.