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Finding the Third Proportional to 48,689 and 106,389

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Solution

The third proportional to 48,689 and 106,389 is: 232,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,689 : 106,389 = 106,389 : x
  2. Step 2: Convert to fraction form
    48,689/106,389 = 106,389/x
  3. Step 3: Cross multiply
    48,689x = 106,389 × 106,389
  4. Step 4: Simplify right side
    48,689x = 11,318,619,321
  5. Step 5: Solve for x
    x = 11,318,619,321/48,689
  6. Step 6: Final answer
    x = 232,467.69

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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.