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Finding the Third Proportional to 54,350 and 85,902

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Solution

The third proportional to 54,350 and 85,902 is: 135,771.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,350 : 85,902 = 85,902 : x
  2. Step 2: Convert to fraction form
    54,350/85,902 = 85,902/x
  3. Step 3: Cross multiply
    54,350x = 85,902 × 85,902
  4. Step 4: Simplify right side
    54,350x = 7,379,153,604
  5. Step 5: Solve for x
    x = 7,379,153,604/54,350
  6. Step 6: Final answer
    x = 135,771.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.