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Finding the Third Proportional to 104,929 and 163,669.50

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Solution

The third proportional to 104,929 and 163,669.50 is: 255,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,929 : 163,669.50 = 163,669.50 : x
  2. Step 2: Convert to fraction form
    104,929/163,669.50 = 163,669.50/x
  3. Step 3: Cross multiply
    104,929x = 163,669.50 × 163,669.50
  4. Step 4: Simplify right side
    104,929x = 26,787,705,230.25
  5. Step 5: Solve for x
    x = 26,787,705,230.25/104,929
  6. Step 6: Final answer
    x = 255,293.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.