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Finding the Third Proportional to 54,527 and 117,403

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Solution

The third proportional to 54,527 and 117,403 is: 252,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,527 : 117,403 = 117,403 : x
  2. Step 2: Convert to fraction form
    54,527/117,403 = 117,403/x
  3. Step 3: Cross multiply
    54,527x = 117,403 × 117,403
  4. Step 4: Simplify right side
    54,527x = 13,783,464,409
  5. Step 5: Solve for x
    x = 13,783,464,409/54,527
  6. Step 6: Final answer
    x = 252,782.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.