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Finding the Third Proportional to 49,284 and 104,712

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Solution

The third proportional to 49,284 and 104,712 is: 222,477.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,284 : 104,712 = 104,712 : x
  2. Step 2: Convert to fraction form
    49,284/104,712 = 104,712/x
  3. Step 3: Cross multiply
    49,284x = 104,712 × 104,712
  4. Step 4: Simplify right side
    49,284x = 10,964,602,944
  5. Step 5: Solve for x
    x = 10,964,602,944/49,284
  6. Step 6: Final answer
    x = 222,477.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.