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Finding the Third Proportional to 48,248.72 and 106,313.63

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Solution

The third proportional to 48,248.72 and 106,313.63 is: 234,256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,248.72 : 106,313.63 = 106,313.63 : x
  2. Step 2: Convert to fraction form
    48,248.72/106,313.63 = 106,313.63/x
  3. Step 3: Cross multiply
    48,248.72x = 106,313.63 × 106,313.63
  4. Step 4: Simplify right side
    48,248.72x = 11,302,586,860.64
  5. Step 5: Solve for x
    x = 11,302,586,860.64/48,248.72
  6. Step 6: Final answer
    x = 234,256.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.