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Finding the Third Proportional to 64,364 and 134,610

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Solution

The third proportional to 64,364 and 134,610 is: 281,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,364 : 134,610 = 134,610 : x
  2. Step 2: Convert to fraction form
    64,364/134,610 = 134,610/x
  3. Step 3: Cross multiply
    64,364x = 134,610 × 134,610
  4. Step 4: Simplify right side
    64,364x = 18,119,852,100
  5. Step 5: Solve for x
    x = 18,119,852,100/64,364
  6. Step 6: Final answer
    x = 281,521.54

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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.