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Finding the Third Proportional to 70,441 and 104,497.50

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Solution

The third proportional to 70,441 and 104,497.50 is: 155,019.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,441 : 104,497.50 = 104,497.50 : x
  2. Step 2: Convert to fraction form
    70,441/104,497.50 = 104,497.50/x
  3. Step 3: Cross multiply
    70,441x = 104,497.50 × 104,497.50
  4. Step 4: Simplify right side
    70,441x = 10,919,727,506.25
  5. Step 5: Solve for x
    x = 10,919,727,506.25/70,441
  6. Step 6: Final answer
    x = 155,019.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.