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Finding the Third Proportional to 97,974 and 146,580.75

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Solution

The third proportional to 97,974 and 146,580.75 is: 219,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,974 : 146,580.75 = 146,580.75 : x
  2. Step 2: Convert to fraction form
    97,974/146,580.75 = 146,580.75/x
  3. Step 3: Cross multiply
    97,974x = 146,580.75 × 146,580.75
  4. Step 4: Simplify right side
    97,974x = 21,485,916,270.56
  5. Step 5: Solve for x
    x = 21,485,916,270.56/97,974
  6. Step 6: Final answer
    x = 219,302.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.