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Finding the Third Proportional to 96,124 and 210,960

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Solution

The third proportional to 96,124 and 210,960 is: 462,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,124 : 210,960 = 210,960 : x
  2. Step 2: Convert to fraction form
    96,124/210,960 = 210,960/x
  3. Step 3: Cross multiply
    96,124x = 210,960 × 210,960
  4. Step 4: Simplify right side
    96,124x = 44,504,121,600
  5. Step 5: Solve for x
    x = 44,504,121,600/96,124
  6. Step 6: Final answer
    x = 462,986.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.