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Finding the Third Proportional to 54,620 and 83,517

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Solution

The third proportional to 54,620 and 83,517 is: 127,702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,620 : 83,517 = 83,517 : x
  2. Step 2: Convert to fraction form
    54,620/83,517 = 83,517/x
  3. Step 3: Cross multiply
    54,620x = 83,517 × 83,517
  4. Step 4: Simplify right side
    54,620x = 6,975,089,289
  5. Step 5: Solve for x
    x = 6,975,089,289/54,620
  6. Step 6: Final answer
    x = 127,702.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.