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Finding the Third Proportional to 51,678 and 95,971.50

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Solution

The third proportional to 51,678 and 95,971.50 is: 178,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,678 : 95,971.50 = 95,971.50 : x
  2. Step 2: Convert to fraction form
    51,678/95,971.50 = 95,971.50/x
  3. Step 3: Cross multiply
    51,678x = 95,971.50 × 95,971.50
  4. Step 4: Simplify right side
    51,678x = 9,210,528,812.25
  5. Step 5: Solve for x
    x = 9,210,528,812.25/51,678
  6. Step 6: Final answer
    x = 178,229.20

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.