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Finding the Third Proportional to 66,346 and 138,838

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Solution

The third proportional to 66,346 and 138,838 is: 290,537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,346 : 138,838 = 138,838 : x
  2. Step 2: Convert to fraction form
    66,346/138,838 = 138,838/x
  3. Step 3: Cross multiply
    66,346x = 138,838 × 138,838
  4. Step 4: Simplify right side
    66,346x = 19,275,990,244
  5. Step 5: Solve for x
    x = 19,275,990,244/66,346
  6. Step 6: Final answer
    x = 290,537.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.