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Finding the Third Proportional to 48,774 and 106,854

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Solution

The third proportional to 48,774 and 106,854 is: 234,095.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,774 : 106,854 = 106,854 : x
  2. Step 2: Convert to fraction form
    48,774/106,854 = 106,854/x
  3. Step 3: Cross multiply
    48,774x = 106,854 × 106,854
  4. Step 4: Simplify right side
    48,774x = 11,417,777,316
  5. Step 5: Solve for x
    x = 11,417,777,316/48,774
  6. Step 6: Final answer
    x = 234,095.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.