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Finding the Third Proportional to 130,939.50 and 200,212.50

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Solution

The third proportional to 130,939.50 and 200,212.50 is: 306,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,939.50 : 200,212.50 = 200,212.50 : x
  2. Step 2: Convert to fraction form
    130,939.50/200,212.50 = 200,212.50/x
  3. Step 3: Cross multiply
    130,939.50x = 200,212.50 × 200,212.50
  4. Step 4: Simplify right side
    130,939.50x = 40,085,045,156.25
  5. Step 5: Solve for x
    x = 40,085,045,156.25/130,939.50
  6. Step 6: Final answer
    x = 306,134.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.