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Finding the Third Proportional to 136,975 and 200,724

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Solution

The third proportional to 136,975 and 200,724 is: 294,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,975 : 200,724 = 200,724 : x
  2. Step 2: Convert to fraction form
    136,975/200,724 = 200,724/x
  3. Step 3: Cross multiply
    136,975x = 200,724 × 200,724
  4. Step 4: Simplify right side
    136,975x = 40,290,124,176
  5. Step 5: Solve for x
    x = 40,290,124,176/136,975
  6. Step 6: Final answer
    x = 294,142.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.