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Finding the Third Proportional to 75,008 and 113,088

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Solution

The third proportional to 75,008 and 113,088 is: 170,500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,008 : 113,088 = 113,088 : x
  2. Step 2: Convert to fraction form
    75,008/113,088 = 113,088/x
  3. Step 3: Cross multiply
    75,008x = 113,088 × 113,088
  4. Step 4: Simplify right side
    75,008x = 12,788,895,744
  5. Step 5: Solve for x
    x = 12,788,895,744/75,008
  6. Step 6: Final answer
    x = 170,500.42

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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.