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Finding the Third Proportional to 62,838 and 136,758

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Solution

The third proportional to 62,838 and 136,758 is: 297,634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,838 : 136,758 = 136,758 : x
  2. Step 2: Convert to fraction form
    62,838/136,758 = 136,758/x
  3. Step 3: Cross multiply
    62,838x = 136,758 × 136,758
  4. Step 4: Simplify right side
    62,838x = 18,702,750,564
  5. Step 5: Solve for x
    x = 18,702,750,564/62,838
  6. Step 6: Final answer
    x = 297,634.40

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.