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Finding the Third Proportional to 50,386 and 76,582

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Solution

The third proportional to 50,386 and 76,582 is: 116,397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,386 : 76,582 = 76,582 : x
  2. Step 2: Convert to fraction form
    50,386/76,582 = 76,582/x
  3. Step 3: Cross multiply
    50,386x = 76,582 × 76,582
  4. Step 4: Simplify right side
    50,386x = 5,864,802,724
  5. Step 5: Solve for x
    x = 5,864,802,724/50,386
  6. Step 6: Final answer
    x = 116,397.47

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.