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Finding the Third Proportional to 104,735 and 221,602

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Solution

The third proportional to 104,735 and 221,602 is: 468,873.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,735 : 221,602 = 221,602 : x
  2. Step 2: Convert to fraction form
    104,735/221,602 = 221,602/x
  3. Step 3: Cross multiply
    104,735x = 221,602 × 221,602
  4. Step 4: Simplify right side
    104,735x = 49,107,446,404
  5. Step 5: Solve for x
    x = 49,107,446,404/104,735
  6. Step 6: Final answer
    x = 468,873.31

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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.