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Finding the Third Proportional to 100,090.13 and 117,736.13

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Solution

The third proportional to 100,090.13 and 117,736.13 is: 138,493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,090.13 : 117,736.13 = 117,736.13 : x
  2. Step 2: Convert to fraction form
    100,090.13/117,736.13 = 117,736.13/x
  3. Step 3: Cross multiply
    100,090.13x = 117,736.13 × 117,736.13
  4. Step 4: Simplify right side
    100,090.13x = 13,861,795,130.02
  5. Step 5: Solve for x
    x = 13,861,795,130.02/100,090.13
  6. Step 6: Final answer
    x = 138,493.13

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.