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Finding the Third Proportional to 118,872 and 261,070

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Solution

The third proportional to 118,872 and 261,070 is: 573,369.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,872 : 261,070 = 261,070 : x
  2. Step 2: Convert to fraction form
    118,872/261,070 = 261,070/x
  3. Step 3: Cross multiply
    118,872x = 261,070 × 261,070
  4. Step 4: Simplify right side
    118,872x = 68,157,544,900
  5. Step 5: Solve for x
    x = 68,157,544,900/118,872
  6. Step 6: Final answer
    x = 573,369.21

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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.