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Finding the Third Proportional to 49,055.63 and 109,215

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Solution

The third proportional to 49,055.63 and 109,215 is: 243,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,055.63 : 109,215 = 109,215 : x
  2. Step 2: Convert to fraction form
    49,055.63/109,215 = 109,215/x
  3. Step 3: Cross multiply
    49,055.63x = 109,215 × 109,215
  4. Step 4: Simplify right side
    49,055.63x = 11,927,916,225
  5. Step 5: Solve for x
    x = 11,927,916,225/49,055.63
  6. Step 6: Final answer
    x = 243,150.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.