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Finding the Third Proportional to 118,854 and 261,032

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Solution

The third proportional to 118,854 and 261,032 is: 573,289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,854 : 261,032 = 261,032 : x
  2. Step 2: Convert to fraction form
    118,854/261,032 = 261,032/x
  3. Step 3: Cross multiply
    118,854x = 261,032 × 261,032
  4. Step 4: Simplify right side
    118,854x = 68,137,705,024
  5. Step 5: Solve for x
    x = 68,137,705,024/118,854
  6. Step 6: Final answer
    x = 573,289.12

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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.