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Finding the Third Proportional to 131,323 and 195,071

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Solution

The third proportional to 131,323 and 195,071 is: 289,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,323 : 195,071 = 195,071 : x
  2. Step 2: Convert to fraction form
    131,323/195,071 = 195,071/x
  3. Step 3: Cross multiply
    131,323x = 195,071 × 195,071
  4. Step 4: Simplify right side
    131,323x = 38,052,695,041
  5. Step 5: Solve for x
    x = 38,052,695,041/131,323
  6. Step 6: Final answer
    x = 289,764.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.