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Finding the Third Proportional to 47,206.50 and 102,157.50

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Solution

The third proportional to 47,206.50 and 102,157.50 is: 221,074.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,206.50 : 102,157.50 = 102,157.50 : x
  2. Step 2: Convert to fraction form
    47,206.50/102,157.50 = 102,157.50/x
  3. Step 3: Cross multiply
    47,206.50x = 102,157.50 × 102,157.50
  4. Step 4: Simplify right side
    47,206.50x = 10,436,154,806.25
  5. Step 5: Solve for x
    x = 10,436,154,806.25/47,206.50
  6. Step 6: Final answer
    x = 221,074.53

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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.