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Finding the Third Proportional to 39,050 and 84,173.50

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Solution

The third proportional to 39,050 and 84,173.50 is: 181,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,050 : 84,173.50 = 84,173.50 : x
  2. Step 2: Convert to fraction form
    39,050/84,173.50 = 84,173.50/x
  3. Step 3: Cross multiply
    39,050x = 84,173.50 × 84,173.50
  4. Step 4: Simplify right side
    39,050x = 7,085,178,102.25
  5. Step 5: Solve for x
    x = 7,085,178,102.25/39,050
  6. Step 6: Final answer
    x = 181,438.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.