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Finding the Third Proportional to 96,672 and 214,080

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Solution

The third proportional to 96,672 and 214,080 is: 474,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,672 : 214,080 = 214,080 : x
  2. Step 2: Convert to fraction form
    96,672/214,080 = 214,080/x
  3. Step 3: Cross multiply
    96,672x = 214,080 × 214,080
  4. Step 4: Simplify right side
    96,672x = 45,830,246,400
  5. Step 5: Solve for x
    x = 45,830,246,400/96,672
  6. Step 6: Final answer
    x = 474,079.84

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.