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Finding the Third Proportional to 135,186.75 and 207,905.63

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Solution

The third proportional to 135,186.75 and 207,905.63 is: 319,741.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,186.75 : 207,905.63 = 207,905.63 : x
  2. Step 2: Convert to fraction form
    135,186.75/207,905.63 = 207,905.63/x
  3. Step 3: Cross multiply
    135,186.75x = 207,905.63 × 207,905.63
  4. Step 4: Simplify right side
    135,186.75x = 43,224,748,906.64
  5. Step 5: Solve for x
    x = 43,224,748,906.64/135,186.75
  6. Step 6: Final answer
    x = 319,741.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.