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Finding the Third Proportional to 25,537 and 54,119

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Solution

The third proportional to 25,537 and 54,119 is: 114,691.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,537 : 54,119 = 54,119 : x
  2. Step 2: Convert to fraction form
    25,537/54,119 = 54,119/x
  3. Step 3: Cross multiply
    25,537x = 54,119 × 54,119
  4. Step 4: Simplify right side
    25,537x = 2,928,866,161
  5. Step 5: Solve for x
    x = 2,928,866,161/25,537
  6. Step 6: Final answer
    x = 114,691.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.