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Finding the Third Proportional to 49,239 and 105,480

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Solution

The third proportional to 49,239 and 105,480 is: 225,959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,239 : 105,480 = 105,480 : x
  2. Step 2: Convert to fraction form
    49,239/105,480 = 105,480/x
  3. Step 3: Cross multiply
    49,239x = 105,480 × 105,480
  4. Step 4: Simplify right side
    49,239x = 11,126,030,400
  5. Step 5: Solve for x
    x = 11,126,030,400/49,239
  6. Step 6: Final answer
    x = 225,959.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.