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Finding the Third Proportional to 25,106 and 53,548

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Solution

The third proportional to 25,106 and 53,548 is: 114,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,106 : 53,548 = 53,548 : x
  2. Step 2: Convert to fraction form
    25,106/53,548 = 53,548/x
  3. Step 3: Cross multiply
    25,106x = 53,548 × 53,548
  4. Step 4: Simplify right side
    25,106x = 2,867,388,304
  5. Step 5: Solve for x
    x = 2,867,388,304/25,106
  6. Step 6: Final answer
    x = 114,211.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.