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Finding the Third Proportional to 74,936 and 112,899

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Solution

The third proportional to 74,936 and 112,899 is: 170,094.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,936 : 112,899 = 112,899 : x
  2. Step 2: Convert to fraction form
    74,936/112,899 = 112,899/x
  3. Step 3: Cross multiply
    74,936x = 112,899 × 112,899
  4. Step 4: Simplify right side
    74,936x = 12,746,184,201
  5. Step 5: Solve for x
    x = 12,746,184,201/74,936
  6. Step 6: Final answer
    x = 170,094.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.