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Finding the Third Proportional to 36,054 and 83,461.50

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Solution

The third proportional to 36,054 and 83,461.50 is: 193,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,054 : 83,461.50 = 83,461.50 : x
  2. Step 2: Convert to fraction form
    36,054/83,461.50 = 83,461.50/x
  3. Step 3: Cross multiply
    36,054x = 83,461.50 × 83,461.50
  4. Step 4: Simplify right side
    36,054x = 6,965,821,982.25
  5. Step 5: Solve for x
    x = 6,965,821,982.25/36,054
  6. Step 6: Final answer
    x = 193,205.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.