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Finding the Third Proportional to 118,870 and 261,066

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Solution

The third proportional to 118,870 and 261,066 is: 573,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,870 : 261,066 = 261,066 : x
  2. Step 2: Convert to fraction form
    118,870/261,066 = 261,066/x
  3. Step 3: Cross multiply
    118,870x = 261,066 × 261,066
  4. Step 4: Simplify right side
    118,870x = 68,155,456,356
  5. Step 5: Solve for x
    x = 68,155,456,356/118,870
  6. Step 6: Final answer
    x = 573,361.29

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