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Finding the Third Proportional to 97,780 and 146,235

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Solution

The third proportional to 97,780 and 146,235 is: 218,701.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,780 : 146,235 = 146,235 : x
  2. Step 2: Convert to fraction form
    97,780/146,235 = 146,235/x
  3. Step 3: Cross multiply
    97,780x = 146,235 × 146,235
  4. Step 4: Simplify right side
    97,780x = 21,384,675,225
  5. Step 5: Solve for x
    x = 21,384,675,225/97,780
  6. Step 6: Final answer
    x = 218,701.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.