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Finding the Third Proportional to 97,000 and 149,504

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Solution

The third proportional to 97,000 and 149,504 is: 230,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,000 : 149,504 = 149,504 : x
  2. Step 2: Convert to fraction form
    97,000/149,504 = 149,504/x
  3. Step 3: Cross multiply
    97,000x = 149,504 × 149,504
  4. Step 4: Simplify right side
    97,000x = 22,351,446,016
  5. Step 5: Solve for x
    x = 22,351,446,016/97,000
  6. Step 6: Final answer
    x = 230,427.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.