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Finding the Third Proportional to 48,510 and 106,038

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Solution

The third proportional to 48,510 and 106,038 is: 231,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,510 : 106,038 = 106,038 : x
  2. Step 2: Convert to fraction form
    48,510/106,038 = 106,038/x
  3. Step 3: Cross multiply
    48,510x = 106,038 × 106,038
  4. Step 4: Simplify right side
    48,510x = 11,244,057,444
  5. Step 5: Solve for x
    x = 11,244,057,444/48,510
  6. Step 6: Final answer
    x = 231,788.44

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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.