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Finding the Third Proportional to 36,099 and 74,205

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Solution

The third proportional to 36,099 and 74,205 is: 152,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,099 : 74,205 = 74,205 : x
  2. Step 2: Convert to fraction form
    36,099/74,205 = 74,205/x
  3. Step 3: Cross multiply
    36,099x = 74,205 × 74,205
  4. Step 4: Simplify right side
    36,099x = 5,506,382,025
  5. Step 5: Solve for x
    x = 5,506,382,025/36,099
  6. Step 6: Final answer
    x = 152,535.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.