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Finding the Third Proportional to 43,240 and 93,224

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Solution

The third proportional to 43,240 and 93,224 is: 200,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,240 : 93,224 = 93,224 : x
  2. Step 2: Convert to fraction form
    43,240/93,224 = 93,224/x
  3. Step 3: Cross multiply
    43,240x = 93,224 × 93,224
  4. Step 4: Simplify right side
    43,240x = 8,690,714,176
  5. Step 5: Solve for x
    x = 8,690,714,176/43,240
  6. Step 6: Final answer
    x = 200,987.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.