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Finding the Third Proportional to 48,924 and 106,533

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Solution

The third proportional to 48,924 and 106,533 is: 231,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,924 : 106,533 = 106,533 : x
  2. Step 2: Convert to fraction form
    48,924/106,533 = 106,533/x
  3. Step 3: Cross multiply
    48,924x = 106,533 × 106,533
  4. Step 4: Simplify right side
    48,924x = 11,349,280,089
  5. Step 5: Solve for x
    x = 11,349,280,089/48,924
  6. Step 6: Final answer
    x = 231,977.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.