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Finding the Third Proportional to 48,313.50 and 103,769

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Solution

The third proportional to 48,313.50 and 103,769 is: 222,877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,313.50 : 103,769 = 103,769 : x
  2. Step 2: Convert to fraction form
    48,313.50/103,769 = 103,769/x
  3. Step 3: Cross multiply
    48,313.50x = 103,769 × 103,769
  4. Step 4: Simplify right side
    48,313.50x = 10,768,005,361
  5. Step 5: Solve for x
    x = 10,768,005,361/48,313.50
  6. Step 6: Final answer
    x = 222,877.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.