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Finding the Third Proportional to 141,506 and 192,278

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Solution

The third proportional to 141,506 and 192,278 is: 261,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,506 : 192,278 = 192,278 : x
  2. Step 2: Convert to fraction form
    141,506/192,278 = 192,278/x
  3. Step 3: Cross multiply
    141,506x = 192,278 × 192,278
  4. Step 4: Simplify right side
    141,506x = 36,970,829,284
  5. Step 5: Solve for x
    x = 36,970,829,284/141,506
  6. Step 6: Final answer
    x = 261,266.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.