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Finding the Third Proportional to 43,040 and 96,160

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Solution

The third proportional to 43,040 and 96,160 is: 214,840.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,040 : 96,160 = 96,160 : x
  2. Step 2: Convert to fraction form
    43,040/96,160 = 96,160/x
  3. Step 3: Cross multiply
    43,040x = 96,160 × 96,160
  4. Step 4: Simplify right side
    43,040x = 9,246,745,600
  5. Step 5: Solve for x
    x = 9,246,745,600/43,040
  6. Step 6: Final answer
    x = 214,840.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.