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Finding the Third Proportional to 57,513.66 and 117,816.19

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Solution

The third proportional to 57,513.66 and 117,816.19 is: 241,345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,513.66 : 117,816.19 = 117,816.19 : x
  2. Step 2: Convert to fraction form
    57,513.66/117,816.19 = 117,816.19/x
  3. Step 3: Cross multiply
    57,513.66x = 117,816.19 × 117,816.19
  4. Step 4: Simplify right side
    57,513.66x = 13,880,654,037.04
  5. Step 5: Solve for x
    x = 13,880,654,037.04/57,513.66
  6. Step 6: Final answer
    x = 241,345.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.