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Finding the Third Proportional to 123,232 and 195,888

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Solution

The third proportional to 123,232 and 195,888 is: 311,381.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,232 : 195,888 = 195,888 : x
  2. Step 2: Convert to fraction form
    123,232/195,888 = 195,888/x
  3. Step 3: Cross multiply
    123,232x = 195,888 × 195,888
  4. Step 4: Simplify right side
    123,232x = 38,372,108,544
  5. Step 5: Solve for x
    x = 38,372,108,544/123,232
  6. Step 6: Final answer
    x = 311,381.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.