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Finding the Third Proportional to 67,178.25 and 104,852.25

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Solution

The third proportional to 67,178.25 and 104,852.25 is: 163,654.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,178.25 : 104,852.25 = 104,852.25 : x
  2. Step 2: Convert to fraction form
    67,178.25/104,852.25 = 104,852.25/x
  3. Step 3: Cross multiply
    67,178.25x = 104,852.25 × 104,852.25
  4. Step 4: Simplify right side
    67,178.25x = 10,993,994,330.06
  5. Step 5: Solve for x
    x = 10,993,994,330.06/67,178.25
  6. Step 6: Final answer
    x = 163,654.07

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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.