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Finding the Third Proportional to 39,054 and 83,886

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Solution

The third proportional to 39,054 and 83,886 is: 180,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,054 : 83,886 = 83,886 : x
  2. Step 2: Convert to fraction form
    39,054/83,886 = 83,886/x
  3. Step 3: Cross multiply
    39,054x = 83,886 × 83,886
  4. Step 4: Simplify right side
    39,054x = 7,036,860,996
  5. Step 5: Solve for x
    x = 7,036,860,996/39,054
  6. Step 6: Final answer
    x = 180,182.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.