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Finding the Third Proportional to 92,354 and 142,947

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Solution

The third proportional to 92,354 and 142,947 is: 221,255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,354 : 142,947 = 142,947 : x
  2. Step 2: Convert to fraction form
    92,354/142,947 = 142,947/x
  3. Step 3: Cross multiply
    92,354x = 142,947 × 142,947
  4. Step 4: Simplify right side
    92,354x = 20,433,844,809
  5. Step 5: Solve for x
    x = 20,433,844,809/92,354
  6. Step 6: Final answer
    x = 221,255.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.