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Finding the Third Proportional to 53,014.50 and 111,483

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Solution

The third proportional to 53,014.50 and 111,483 is: 234,435.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,014.50 : 111,483 = 111,483 : x
  2. Step 2: Convert to fraction form
    53,014.50/111,483 = 111,483/x
  3. Step 3: Cross multiply
    53,014.50x = 111,483 × 111,483
  4. Step 4: Simplify right side
    53,014.50x = 12,428,459,289
  5. Step 5: Solve for x
    x = 12,428,459,289/53,014.50
  6. Step 6: Final answer
    x = 234,435.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.