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Finding the Third Proportional to 54,965 and 117,045

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Solution

The third proportional to 54,965 and 117,045 is: 249,241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,965 : 117,045 = 117,045 : x
  2. Step 2: Convert to fraction form
    54,965/117,045 = 117,045/x
  3. Step 3: Cross multiply
    54,965x = 117,045 × 117,045
  4. Step 4: Simplify right side
    54,965x = 13,699,532,025
  5. Step 5: Solve for x
    x = 13,699,532,025/54,965
  6. Step 6: Final answer
    x = 249,241.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.