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Finding the Third Proportional to 54,766 and 78,261

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Solution

The third proportional to 54,766 and 78,261 is: 111,835.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,766 : 78,261 = 78,261 : x
  2. Step 2: Convert to fraction form
    54,766/78,261 = 78,261/x
  3. Step 3: Cross multiply
    54,766x = 78,261 × 78,261
  4. Step 4: Simplify right side
    54,766x = 6,124,784,121
  5. Step 5: Solve for x
    x = 6,124,784,121/54,766
  6. Step 6: Final answer
    x = 111,835.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.