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Finding the Third Proportional to 66,576 and 101,227.50

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Solution

The third proportional to 66,576 and 101,227.50 is: 153,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,576 : 101,227.50 = 101,227.50 : x
  2. Step 2: Convert to fraction form
    66,576/101,227.50 = 101,227.50/x
  3. Step 3: Cross multiply
    66,576x = 101,227.50 × 101,227.50
  4. Step 4: Simplify right side
    66,576x = 10,247,006,756.25
  5. Step 5: Solve for x
    x = 10,247,006,756.25/66,576
  6. Step 6: Final answer
    x = 153,914.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.