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Finding the Third Proportional to 49,239 and 105,486

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Solution

The third proportional to 49,239 and 105,486 is: 225,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,239 : 105,486 = 105,486 : x
  2. Step 2: Convert to fraction form
    49,239/105,486 = 105,486/x
  3. Step 3: Cross multiply
    49,239x = 105,486 × 105,486
  4. Step 4: Simplify right side
    49,239x = 11,127,296,196
  5. Step 5: Solve for x
    x = 11,127,296,196/49,239
  6. Step 6: Final answer
    x = 225,985.42

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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.