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Finding the Third Proportional to 75,684 and 114,582

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Solution

The third proportional to 75,684 and 114,582 is: 173,471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,684 : 114,582 = 114,582 : x
  2. Step 2: Convert to fraction form
    75,684/114,582 = 114,582/x
  3. Step 3: Cross multiply
    75,684x = 114,582 × 114,582
  4. Step 4: Simplify right side
    75,684x = 13,129,034,724
  5. Step 5: Solve for x
    x = 13,129,034,724/75,684
  6. Step 6: Final answer
    x = 173,471.73

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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.