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Finding the Third Proportional to 49,263.50 and 102,030.50

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Solution

The third proportional to 49,263.50 and 102,030.50 is: 211,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,263.50 : 102,030.50 = 102,030.50 : x
  2. Step 2: Convert to fraction form
    49,263.50/102,030.50 = 102,030.50/x
  3. Step 3: Cross multiply
    49,263.50x = 102,030.50 × 102,030.50
  4. Step 4: Simplify right side
    49,263.50x = 10,410,222,930.25
  5. Step 5: Solve for x
    x = 10,410,222,930.25/49,263.50
  6. Step 6: Final answer
    x = 211,317.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.