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Finding the Third Proportional to 64,175 and 154,605

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Solution

The third proportional to 64,175 and 154,605 is: 372,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,175 : 154,605 = 154,605 : x
  2. Step 2: Convert to fraction form
    64,175/154,605 = 154,605/x
  3. Step 3: Cross multiply
    64,175x = 154,605 × 154,605
  4. Step 4: Simplify right side
    64,175x = 23,902,706,025
  5. Step 5: Solve for x
    x = 23,902,706,025/64,175
  6. Step 6: Final answer
    x = 372,461.33

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.