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Finding the Third Proportional to 68,207 and 105,226.50

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Solution

The third proportional to 68,207 and 105,226.50 is: 162,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,207 : 105,226.50 = 105,226.50 : x
  2. Step 2: Convert to fraction form
    68,207/105,226.50 = 105,226.50/x
  3. Step 3: Cross multiply
    68,207x = 105,226.50 × 105,226.50
  4. Step 4: Simplify right side
    68,207x = 11,072,616,302.25
  5. Step 5: Solve for x
    x = 11,072,616,302.25/68,207
  6. Step 6: Final answer
    x = 162,338.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.