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Finding the Third Proportional to 95,261 and 209,960

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Solution

The third proportional to 95,261 and 209,960 is: 462,762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,261 : 209,960 = 209,960 : x
  2. Step 2: Convert to fraction form
    95,261/209,960 = 209,960/x
  3. Step 3: Cross multiply
    95,261x = 209,960 × 209,960
  4. Step 4: Simplify right side
    95,261x = 44,083,201,600
  5. Step 5: Solve for x
    x = 44,083,201,600/95,261
  6. Step 6: Final answer
    x = 462,762.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.