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Finding the Third Proportional to 74,226 and 111,335

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Solution

The third proportional to 74,226 and 111,335 is: 166,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,226 : 111,335 = 111,335 : x
  2. Step 2: Convert to fraction form
    74,226/111,335 = 111,335/x
  3. Step 3: Cross multiply
    74,226x = 111,335 × 111,335
  4. Step 4: Simplify right side
    74,226x = 12,395,482,225
  5. Step 5: Solve for x
    x = 12,395,482,225/74,226
  6. Step 6: Final answer
    x = 166,996.50

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Why These Related Problems?

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