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Finding the Third Proportional to 97,504 and 147,456

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Solution

The third proportional to 97,504 and 147,456 is: 222,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,504 : 147,456 = 147,456 : x
  2. Step 2: Convert to fraction form
    97,504/147,456 = 147,456/x
  3. Step 3: Cross multiply
    97,504x = 147,456 × 147,456
  4. Step 4: Simplify right side
    97,504x = 21,743,271,936
  5. Step 5: Solve for x
    x = 21,743,271,936/97,504
  6. Step 6: Final answer
    x = 222,998.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.