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Finding the Third Proportional to 103,325.63 and 146,245.50

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Solution

The third proportional to 103,325.63 and 146,245.50 is: 206,993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,325.63 : 146,245.50 = 146,245.50 : x
  2. Step 2: Convert to fraction form
    103,325.63/146,245.50 = 146,245.50/x
  3. Step 3: Cross multiply
    103,325.63x = 146,245.50 × 146,245.50
  4. Step 4: Simplify right side
    103,325.63x = 21,387,746,270.25
  5. Step 5: Solve for x
    x = 21,387,746,270.25/103,325.63
  6. Step 6: Final answer
    x = 206,993.63

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.