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Finding the Third Proportional to 54,054 and 116,433

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Solution

The third proportional to 54,054 and 116,433 is: 250,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,054 : 116,433 = 116,433 : x
  2. Step 2: Convert to fraction form
    54,054/116,433 = 116,433/x
  3. Step 3: Cross multiply
    54,054x = 116,433 × 116,433
  4. Step 4: Simplify right side
    54,054x = 13,556,643,489
  5. Step 5: Solve for x
    x = 13,556,643,489/54,054
  6. Step 6: Final answer
    x = 250,798.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.