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Finding the Third Proportional to 113,544 and 171,888

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Solution

The third proportional to 113,544 and 171,888 is: 260,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,544 : 171,888 = 171,888 : x
  2. Step 2: Convert to fraction form
    113,544/171,888 = 171,888/x
  3. Step 3: Cross multiply
    113,544x = 171,888 × 171,888
  4. Step 4: Simplify right side
    113,544x = 29,545,484,544
  5. Step 5: Solve for x
    x = 29,545,484,544/113,544
  6. Step 6: Final answer
    x = 260,211.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.