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Finding the Third Proportional to 48,646 and 104,888

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Solution

The third proportional to 48,646 and 104,888 is: 226,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,646 : 104,888 = 104,888 : x
  2. Step 2: Convert to fraction form
    48,646/104,888 = 104,888/x
  3. Step 3: Cross multiply
    48,646x = 104,888 × 104,888
  4. Step 4: Simplify right side
    48,646x = 11,001,492,544
  5. Step 5: Solve for x
    x = 11,001,492,544/48,646
  6. Step 6: Final answer
    x = 226,154.10

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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.