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Finding the Third Proportional to 131,730 and 195,308

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Solution

The third proportional to 131,730 and 195,308 is: 289,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,730 : 195,308 = 195,308 : x
  2. Step 2: Convert to fraction form
    131,730/195,308 = 195,308/x
  3. Step 3: Cross multiply
    131,730x = 195,308 × 195,308
  4. Step 4: Simplify right side
    131,730x = 38,145,214,864
  5. Step 5: Solve for x
    x = 38,145,214,864/131,730
  6. Step 6: Final answer
    x = 289,571.21

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