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Finding the Third Proportional to 48,514 and 106,046

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Solution

The third proportional to 48,514 and 106,046 is: 231,804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,514 : 106,046 = 106,046 : x
  2. Step 2: Convert to fraction form
    48,514/106,046 = 106,046/x
  3. Step 3: Cross multiply
    48,514x = 106,046 × 106,046
  4. Step 4: Simplify right side
    48,514x = 11,245,754,116
  5. Step 5: Solve for x
    x = 11,245,754,116/48,514
  6. Step 6: Final answer
    x = 231,804.31

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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.