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Finding the Third Proportional to 92,124 and 201,431

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Solution

The third proportional to 92,124 and 201,431 is: 440,432.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,124 : 201,431 = 201,431 : x
  2. Step 2: Convert to fraction form
    92,124/201,431 = 201,431/x
  3. Step 3: Cross multiply
    92,124x = 201,431 × 201,431
  4. Step 4: Simplify right side
    92,124x = 40,574,447,761
  5. Step 5: Solve for x
    x = 40,574,447,761/92,124
  6. Step 6: Final answer
    x = 440,432.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.