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Finding the Third Proportional to 92,456 and 170,224

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Solution

The third proportional to 92,456 and 170,224 is: 313,405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,456 : 170,224 = 170,224 : x
  2. Step 2: Convert to fraction form
    92,456/170,224 = 170,224/x
  3. Step 3: Cross multiply
    92,456x = 170,224 × 170,224
  4. Step 4: Simplify right side
    92,456x = 28,976,210,176
  5. Step 5: Solve for x
    x = 28,976,210,176/92,456
  6. Step 6: Final answer
    x = 313,405.41

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.