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Finding the Third Proportional to 71,504 and 152,504

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Solution

The third proportional to 71,504 and 152,504 is: 325,261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,504 : 152,504 = 152,504 : x
  2. Step 2: Convert to fraction form
    71,504/152,504 = 152,504/x
  3. Step 3: Cross multiply
    71,504x = 152,504 × 152,504
  4. Step 4: Simplify right side
    71,504x = 23,257,470,016
  5. Step 5: Solve for x
    x = 23,257,470,016/71,504
  6. Step 6: Final answer
    x = 325,261.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.