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Finding the Third Proportional to 97,015.50 and 144,924.75

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Solution

The third proportional to 97,015.50 and 144,924.75 is: 216,493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,015.50 : 144,924.75 = 144,924.75 : x
  2. Step 2: Convert to fraction form
    97,015.50/144,924.75 = 144,924.75/x
  3. Step 3: Cross multiply
    97,015.50x = 144,924.75 × 144,924.75
  4. Step 4: Simplify right side
    97,015.50x = 21,003,183,162.56
  5. Step 5: Solve for x
    x = 21,003,183,162.56/97,015.50
  6. Step 6: Final answer
    x = 216,493.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.