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Finding the Third Proportional to 83,135 and 127,497

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Solution

The third proportional to 83,135 and 127,497 is: 195,531.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,135 : 127,497 = 127,497 : x
  2. Step 2: Convert to fraction form
    83,135/127,497 = 127,497/x
  3. Step 3: Cross multiply
    83,135x = 127,497 × 127,497
  4. Step 4: Simplify right side
    83,135x = 16,255,485,009
  5. Step 5: Solve for x
    x = 16,255,485,009/83,135
  6. Step 6: Final answer
    x = 195,531.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.