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Finding the Third Proportional to 131,726 and 195,303

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Solution

The third proportional to 131,726 and 195,303 is: 289,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,726 : 195,303 = 195,303 : x
  2. Step 2: Convert to fraction form
    131,726/195,303 = 195,303/x
  3. Step 3: Cross multiply
    131,726x = 195,303 × 195,303
  4. Step 4: Simplify right side
    131,726x = 38,143,261,809
  5. Step 5: Solve for x
    x = 38,143,261,809/131,726
  6. Step 6: Final answer
    x = 289,565.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.