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Finding the Third Proportional to 25,257 and 53,133

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Solution

The third proportional to 25,257 and 53,133 is: 111,775.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,257 : 53,133 = 53,133 : x
  2. Step 2: Convert to fraction form
    25,257/53,133 = 53,133/x
  3. Step 3: Cross multiply
    25,257x = 53,133 × 53,133
  4. Step 4: Simplify right side
    25,257x = 2,823,115,689
  5. Step 5: Solve for x
    x = 2,823,115,689/25,257
  6. Step 6: Final answer
    x = 111,775.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.