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Finding the Third Proportional to 128,131.50 and 195,357

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Solution

The third proportional to 128,131.50 and 195,357 is: 297,853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,131.50 : 195,357 = 195,357 : x
  2. Step 2: Convert to fraction form
    128,131.50/195,357 = 195,357/x
  3. Step 3: Cross multiply
    128,131.50x = 195,357 × 195,357
  4. Step 4: Simplify right side
    128,131.50x = 38,164,357,449
  5. Step 5: Solve for x
    x = 38,164,357,449/128,131.50
  6. Step 6: Final answer
    x = 297,853.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.