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Finding the Third Proportional to 92,975 and 200,709

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Solution

The third proportional to 92,975 and 200,709 is: 433,278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,975 : 200,709 = 200,709 : x
  2. Step 2: Convert to fraction form
    92,975/200,709 = 200,709/x
  3. Step 3: Cross multiply
    92,975x = 200,709 × 200,709
  4. Step 4: Simplify right side
    92,975x = 40,284,102,681
  5. Step 5: Solve for x
    x = 40,284,102,681/92,975
  6. Step 6: Final answer
    x = 433,278.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.