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Finding the Third Proportional to 25,575 and 57,102

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Solution

The third proportional to 25,575 and 57,102 is: 127,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,575 : 57,102 = 57,102 : x
  2. Step 2: Convert to fraction form
    25,575/57,102 = 57,102/x
  3. Step 3: Cross multiply
    25,575x = 57,102 × 57,102
  4. Step 4: Simplify right side
    25,575x = 3,260,638,404
  5. Step 5: Solve for x
    x = 3,260,638,404/25,575
  6. Step 6: Final answer
    x = 127,493.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.