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Finding the Third Proportional to 54,495 and 83,325

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Solution

The third proportional to 54,495 and 83,325 is: 127,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,495 : 83,325 = 83,325 : x
  2. Step 2: Convert to fraction form
    54,495/83,325 = 83,325/x
  3. Step 3: Cross multiply
    54,495x = 83,325 × 83,325
  4. Step 4: Simplify right side
    54,495x = 6,943,055,625
  5. Step 5: Solve for x
    x = 6,943,055,625/54,495
  6. Step 6: Final answer
    x = 127,407.20

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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.