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Finding the Third Proportional to 62,826 and 134,752

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Solution

The third proportional to 62,826 and 134,752 is: 289,022.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,826 : 134,752 = 134,752 : x
  2. Step 2: Convert to fraction form
    62,826/134,752 = 134,752/x
  3. Step 3: Cross multiply
    62,826x = 134,752 × 134,752
  4. Step 4: Simplify right side
    62,826x = 18,158,101,504
  5. Step 5: Solve for x
    x = 18,158,101,504/62,826
  6. Step 6: Final answer
    x = 289,022.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.