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Finding the Third Proportional to 54,492.75 and 116,751.38

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Solution

The third proportional to 54,492.75 and 116,751.38 is: 250,141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,492.75 : 116,751.38 = 116,751.38 : x
  2. Step 2: Convert to fraction form
    54,492.75/116,751.38 = 116,751.38/x
  3. Step 3: Cross multiply
    54,492.75x = 116,751.38 × 116,751.38
  4. Step 4: Simplify right side
    54,492.75x = 13,630,883,564.39
  5. Step 5: Solve for x
    x = 13,630,883,564.39/54,492.75
  6. Step 6: Final answer
    x = 250,141.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.