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Finding the Third Proportional to 60,317 and 127,437

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Solution

The third proportional to 60,317 and 127,437 is: 269,247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,317 : 127,437 = 127,437 : x
  2. Step 2: Convert to fraction form
    60,317/127,437 = 127,437/x
  3. Step 3: Cross multiply
    60,317x = 127,437 × 127,437
  4. Step 4: Simplify right side
    60,317x = 16,240,188,969
  5. Step 5: Solve for x
    x = 16,240,188,969/60,317
  6. Step 6: Final answer
    x = 269,247.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.