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Finding the Third Proportional to 52,138 and 114,643

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Solution

The third proportional to 52,138 and 114,643 is: 252,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,138 : 114,643 = 114,643 : x
  2. Step 2: Convert to fraction form
    52,138/114,643 = 114,643/x
  3. Step 3: Cross multiply
    52,138x = 114,643 × 114,643
  4. Step 4: Simplify right side
    52,138x = 13,143,017,449
  5. Step 5: Solve for x
    x = 13,143,017,449/52,138
  6. Step 6: Final answer
    x = 252,081.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.