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Finding the Third Proportional to 42,423 and 92,541

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Solution

The third proportional to 42,423 and 92,541 is: 201,867.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,423 : 92,541 = 92,541 : x
  2. Step 2: Convert to fraction form
    42,423/92,541 = 92,541/x
  3. Step 3: Cross multiply
    42,423x = 92,541 × 92,541
  4. Step 4: Simplify right side
    42,423x = 8,563,836,681
  5. Step 5: Solve for x
    x = 8,563,836,681/42,423
  6. Step 6: Final answer
    x = 201,867.78

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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.