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Finding the Third Proportional to 48,838 and 107,024

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Solution

The third proportional to 48,838 and 107,024 is: 234,533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,838 : 107,024 = 107,024 : x
  2. Step 2: Convert to fraction form
    48,838/107,024 = 107,024/x
  3. Step 3: Cross multiply
    48,838x = 107,024 × 107,024
  4. Step 4: Simplify right side
    48,838x = 11,454,136,576
  5. Step 5: Solve for x
    x = 11,454,136,576/48,838
  6. Step 6: Final answer
    x = 234,533.29

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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.