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Finding the Third Proportional to 64,523 and 134,958

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Solution

The third proportional to 64,523 and 134,958 is: 282,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,523 : 134,958 = 134,958 : x
  2. Step 2: Convert to fraction form
    64,523/134,958 = 134,958/x
  3. Step 3: Cross multiply
    64,523x = 134,958 × 134,958
  4. Step 4: Simplify right side
    64,523x = 18,213,661,764
  5. Step 5: Solve for x
    x = 18,213,661,764/64,523
  6. Step 6: Final answer
    x = 282,281.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.