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Finding the Third Proportional to 97,185 and 149,919

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Solution

The third proportional to 97,185 and 149,919 is: 231,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,185 : 149,919 = 149,919 : x
  2. Step 2: Convert to fraction form
    97,185/149,919 = 149,919/x
  3. Step 3: Cross multiply
    97,185x = 149,919 × 149,919
  4. Step 4: Simplify right side
    97,185x = 22,475,706,561
  5. Step 5: Solve for x
    x = 22,475,706,561/97,185
  6. Step 6: Final answer
    x = 231,267.24

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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.