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Finding the Third Proportional to 60,320 and 127,444

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Solution

The third proportional to 60,320 and 127,444 is: 269,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,320 : 127,444 = 127,444 : x
  2. Step 2: Convert to fraction form
    60,320/127,444 = 127,444/x
  3. Step 3: Cross multiply
    60,320x = 127,444 × 127,444
  4. Step 4: Simplify right side
    60,320x = 16,241,973,136
  5. Step 5: Solve for x
    x = 16,241,973,136/60,320
  6. Step 6: Final answer
    x = 269,263.48

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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.