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Finding the Third Proportional to 75,330 and 113,967

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Solution

The third proportional to 75,330 and 113,967 is: 172,421.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,330 : 113,967 = 113,967 : x
  2. Step 2: Convert to fraction form
    75,330/113,967 = 113,967/x
  3. Step 3: Cross multiply
    75,330x = 113,967 × 113,967
  4. Step 4: Simplify right side
    75,330x = 12,988,477,089
  5. Step 5: Solve for x
    x = 12,988,477,089/75,330
  6. Step 6: Final answer
    x = 172,421.04

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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.