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Finding the Third Proportional to 63,768 and 134,826

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Solution

The third proportional to 63,768 and 134,826 is: 285,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,768 : 134,826 = 134,826 : x
  2. Step 2: Convert to fraction form
    63,768/134,826 = 134,826/x
  3. Step 3: Cross multiply
    63,768x = 134,826 × 134,826
  4. Step 4: Simplify right side
    63,768x = 18,178,050,276
  5. Step 5: Solve for x
    x = 18,178,050,276/63,768
  6. Step 6: Final answer
    x = 285,065.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.