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Finding the Third Proportional to 74,263 and 114,912.50

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Solution

The third proportional to 74,263 and 114,912.50 is: 177,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,263 : 114,912.50 = 114,912.50 : x
  2. Step 2: Convert to fraction form
    74,263/114,912.50 = 114,912.50/x
  3. Step 3: Cross multiply
    74,263x = 114,912.50 × 114,912.50
  4. Step 4: Simplify right side
    74,263x = 13,204,882,656.25
  5. Step 5: Solve for x
    x = 13,204,882,656.25/74,263
  6. Step 6: Final answer
    x = 177,812.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.