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Finding the Third Proportional to 92,062 and 200,527

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Solution

The third proportional to 92,062 and 200,527 is: 436,782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,062 : 200,527 = 200,527 : x
  2. Step 2: Convert to fraction form
    92,062/200,527 = 200,527/x
  3. Step 3: Cross multiply
    92,062x = 200,527 × 200,527
  4. Step 4: Simplify right side
    92,062x = 40,211,077,729
  5. Step 5: Solve for x
    x = 40,211,077,729/92,062
  6. Step 6: Final answer
    x = 436,782.58

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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.