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Finding the Third Proportional to 25,146 and 53,636

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Solution

The third proportional to 25,146 and 53,636 is: 114,404.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,146 : 53,636 = 53,636 : x
  2. Step 2: Convert to fraction form
    25,146/53,636 = 53,636/x
  3. Step 3: Cross multiply
    25,146x = 53,636 × 53,636
  4. Step 4: Simplify right side
    25,146x = 2,876,820,496
  5. Step 5: Solve for x
    x = 2,876,820,496/25,146
  6. Step 6: Final answer
    x = 114,404.70

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