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Finding the Third Proportional to 97,504 and 142,563

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Solution

The third proportional to 97,504 and 142,563 is: 208,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,504 : 142,563 = 142,563 : x
  2. Step 2: Convert to fraction form
    97,504/142,563 = 142,563/x
  3. Step 3: Cross multiply
    97,504x = 142,563 × 142,563
  4. Step 4: Simplify right side
    97,504x = 20,324,208,969
  5. Step 5: Solve for x
    x = 20,324,208,969/97,504
  6. Step 6: Final answer
    x = 208,444.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.