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Finding the Third Proportional to 123,237 and 190,289.25

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Solution

The third proportional to 123,237 and 190,289.25 is: 293,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,237 : 190,289.25 = 190,289.25 : x
  2. Step 2: Convert to fraction form
    123,237/190,289.25 = 190,289.25/x
  3. Step 3: Cross multiply
    123,237x = 190,289.25 × 190,289.25
  4. Step 4: Simplify right side
    123,237x = 36,209,998,665.56
  5. Step 5: Solve for x
    x = 36,209,998,665.56/123,237
  6. Step 6: Final answer
    x = 293,824.08

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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.