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Finding the Third Proportional to 48,827 and 106,603

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Solution

The third proportional to 48,827 and 106,603 is: 232,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,827 : 106,603 = 106,603 : x
  2. Step 2: Convert to fraction form
    48,827/106,603 = 106,603/x
  3. Step 3: Cross multiply
    48,827x = 106,603 × 106,603
  4. Step 4: Simplify right side
    48,827x = 11,364,199,609
  5. Step 5: Solve for x
    x = 11,364,199,609/48,827
  6. Step 6: Final answer
    x = 232,744.17

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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.