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Finding the Third Proportional to 53,824.50 and 116,979.19

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Solution

The third proportional to 53,824.50 and 116,979.19 is: 254,236.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,824.50 : 116,979.19 = 116,979.19 : x
  2. Step 2: Convert to fraction form
    53,824.50/116,979.19 = 116,979.19/x
  3. Step 3: Cross multiply
    53,824.50x = 116,979.19 × 116,979.19
  4. Step 4: Simplify right side
    53,824.50x = 13,684,130,308.16
  5. Step 5: Solve for x
    x = 13,684,130,308.16/53,824.50
  6. Step 6: Final answer
    x = 254,236.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.