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Finding the Third Proportional to 96,140 and 208,504

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Solution

The third proportional to 96,140 and 208,504 is: 452,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,140 : 208,504 = 208,504 : x
  2. Step 2: Convert to fraction form
    96,140/208,504 = 208,504/x
  3. Step 3: Cross multiply
    96,140x = 208,504 × 208,504
  4. Step 4: Simplify right side
    96,140x = 43,473,918,016
  5. Step 5: Solve for x
    x = 43,473,918,016/96,140
  6. Step 6: Final answer
    x = 452,193.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.