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Finding the Third Proportional to 57,774 and 125,024

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Solution

The third proportional to 57,774 and 125,024 is: 270,554.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,774 : 125,024 = 125,024 : x
  2. Step 2: Convert to fraction form
    57,774/125,024 = 125,024/x
  3. Step 3: Cross multiply
    57,774x = 125,024 × 125,024
  4. Step 4: Simplify right side
    57,774x = 15,631,000,576
  5. Step 5: Solve for x
    x = 15,631,000,576/57,774
  6. Step 6: Final answer
    x = 270,554.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.