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Finding the Third Proportional to 64,829 and 134,157

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Solution

The third proportional to 64,829 and 134,157 is: 277,624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,829 : 134,157 = 134,157 : x
  2. Step 2: Convert to fraction form
    64,829/134,157 = 134,157/x
  3. Step 3: Cross multiply
    64,829x = 134,157 × 134,157
  4. Step 4: Simplify right side
    64,829x = 17,998,100,649
  5. Step 5: Solve for x
    x = 17,998,100,649/64,829
  6. Step 6: Final answer
    x = 277,624.22

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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.