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Finding the Third Proportional to 70,431.75 and 152,805.94

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Solution

The third proportional to 70,431.75 and 152,805.94 is: 331,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,431.75 : 152,805.94 = 152,805.94 : x
  2. Step 2: Convert to fraction form
    70,431.75/152,805.94 = 152,805.94/x
  3. Step 3: Cross multiply
    70,431.75x = 152,805.94 × 152,805.94
  4. Step 4: Simplify right side
    70,431.75x = 23,349,654,535.25
  5. Step 5: Solve for x
    x = 23,349,654,535.25/70,431.75
  6. Step 6: Final answer
    x = 331,521.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.