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Finding the Third Proportional to 64,818 and 134,136

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Solution

The third proportional to 64,818 and 134,136 is: 277,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,818 : 134,136 = 134,136 : x
  2. Step 2: Convert to fraction form
    64,818/134,136 = 134,136/x
  3. Step 3: Cross multiply
    64,818x = 134,136 × 134,136
  4. Step 4: Simplify right side
    64,818x = 17,992,466,496
  5. Step 5: Solve for x
    x = 17,992,466,496/64,818
  6. Step 6: Final answer
    x = 277,584.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.