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Finding the Third Proportional to 85,248 and 127,616

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Solution

The third proportional to 85,248 and 127,616 is: 191,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,248 : 127,616 = 127,616 : x
  2. Step 2: Convert to fraction form
    85,248/127,616 = 127,616/x
  3. Step 3: Cross multiply
    85,248x = 127,616 × 127,616
  4. Step 4: Simplify right side
    85,248x = 16,285,843,456
  5. Step 5: Solve for x
    x = 16,285,843,456/85,248
  6. Step 6: Final answer
    x = 191,040.77

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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.