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Finding the Third Proportional to 54,556 and 84,246

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Solution

The third proportional to 54,556 and 84,246 is: 130,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,556 : 84,246 = 84,246 : x
  2. Step 2: Convert to fraction form
    54,556/84,246 = 84,246/x
  3. Step 3: Cross multiply
    54,556x = 84,246 × 84,246
  4. Step 4: Simplify right side
    54,556x = 7,097,388,516
  5. Step 5: Solve for x
    x = 7,097,388,516/54,556
  6. Step 6: Final answer
    x = 130,093.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.