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Finding the Third Proportional to 70,054 and 104,833

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Solution

The third proportional to 70,054 and 104,833 is: 156,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,054 : 104,833 = 104,833 : x
  2. Step 2: Convert to fraction form
    70,054/104,833 = 104,833/x
  3. Step 3: Cross multiply
    70,054x = 104,833 × 104,833
  4. Step 4: Simplify right side
    70,054x = 10,989,957,889
  5. Step 5: Solve for x
    x = 10,989,957,889/70,054
  6. Step 6: Final answer
    x = 156,878.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.