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Finding the Third Proportional to 127,278 and 192,525

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Solution

The third proportional to 127,278 and 192,525 is: 291,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,278 : 192,525 = 192,525 : x
  2. Step 2: Convert to fraction form
    127,278/192,525 = 192,525/x
  3. Step 3: Cross multiply
    127,278x = 192,525 × 192,525
  4. Step 4: Simplify right side
    127,278x = 37,065,875,625
  5. Step 5: Solve for x
    x = 37,065,875,625/127,278
  6. Step 6: Final answer
    x = 291,219.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.