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Finding the Third Proportional to 51,590 and 113,024

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Solution

The third proportional to 51,590 and 113,024 is: 247,614.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,590 : 113,024 = 113,024 : x
  2. Step 2: Convert to fraction form
    51,590/113,024 = 113,024/x
  3. Step 3: Cross multiply
    51,590x = 113,024 × 113,024
  4. Step 4: Simplify right side
    51,590x = 12,774,424,576
  5. Step 5: Solve for x
    x = 12,774,424,576/51,590
  6. Step 6: Final answer
    x = 247,614.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.