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Finding the Third Proportional to 52,554 and 121,539

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Solution

The third proportional to 52,554 and 121,539 is: 281,077.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,554 : 121,539 = 121,539 : x
  2. Step 2: Convert to fraction form
    52,554/121,539 = 121,539/x
  3. Step 3: Cross multiply
    52,554x = 121,539 × 121,539
  4. Step 4: Simplify right side
    52,554x = 14,771,728,521
  5. Step 5: Solve for x
    x = 14,771,728,521/52,554
  6. Step 6: Final answer
    x = 281,077.15

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.