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Finding the Third Proportional to 97,199 and 149,947

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Solution

The third proportional to 97,199 and 149,947 is: 231,320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,199 : 149,947 = 149,947 : x
  2. Step 2: Convert to fraction form
    97,199/149,947 = 149,947/x
  3. Step 3: Cross multiply
    97,199x = 149,947 × 149,947
  4. Step 4: Simplify right side
    97,199x = 22,484,102,809
  5. Step 5: Solve for x
    x = 22,484,102,809/97,199
  6. Step 6: Final answer
    x = 231,320.31

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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.