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Finding the Third Proportional to 92,145.75 and 200,967

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Solution

The third proportional to 92,145.75 and 200,967 is: 438,302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,145.75 : 200,967 = 200,967 : x
  2. Step 2: Convert to fraction form
    92,145.75/200,967 = 200,967/x
  3. Step 3: Cross multiply
    92,145.75x = 200,967 × 200,967
  4. Step 4: Simplify right side
    92,145.75x = 40,387,735,089
  5. Step 5: Solve for x
    x = 40,387,735,089/92,145.75
  6. Step 6: Final answer
    x = 438,302.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.