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Finding the Third Proportional to 53,980.88 and 114,189.75

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Solution

The third proportional to 53,980.88 and 114,189.75 is: 241,554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,980.88 : 114,189.75 = 114,189.75 : x
  2. Step 2: Convert to fraction form
    53,980.88/114,189.75 = 114,189.75/x
  3. Step 3: Cross multiply
    53,980.88x = 114,189.75 × 114,189.75
  4. Step 4: Simplify right side
    53,980.88x = 13,039,299,005.06
  5. Step 5: Solve for x
    x = 13,039,299,005.06/53,980.88
  6. Step 6: Final answer
    x = 241,554.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.