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Finding the Third Proportional to 54,483 and 83,310

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Solution

The third proportional to 54,483 and 83,310 is: 127,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,483 : 83,310 = 83,310 : x
  2. Step 2: Convert to fraction form
    54,483/83,310 = 83,310/x
  3. Step 3: Cross multiply
    54,483x = 83,310 × 83,310
  4. Step 4: Simplify right side
    54,483x = 6,940,556,100
  5. Step 5: Solve for x
    x = 6,940,556,100/54,483
  6. Step 6: Final answer
    x = 127,389.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.