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Finding the Third Proportional to 60,302 and 127,293

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Solution

The third proportional to 60,302 and 127,293 is: 268,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,302 : 127,293 = 127,293 : x
  2. Step 2: Convert to fraction form
    60,302/127,293 = 127,293/x
  3. Step 3: Cross multiply
    60,302x = 127,293 × 127,293
  4. Step 4: Simplify right side
    60,302x = 16,203,507,849
  5. Step 5: Solve for x
    x = 16,203,507,849/60,302
  6. Step 6: Final answer
    x = 268,705.98

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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.