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Finding the Third Proportional to 48,711 and 105,018

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Solution

The third proportional to 48,711 and 105,018 is: 226,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,711 : 105,018 = 105,018 : x
  2. Step 2: Convert to fraction form
    48,711/105,018 = 105,018/x
  3. Step 3: Cross multiply
    48,711x = 105,018 × 105,018
  4. Step 4: Simplify right side
    48,711x = 11,028,780,324
  5. Step 5: Solve for x
    x = 11,028,780,324/48,711
  6. Step 6: Final answer
    x = 226,412.52

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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.