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Finding the Third Proportional to 42,421 and 92,536

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Solution

The third proportional to 42,421 and 92,536 is: 201,855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,421 : 92,536 = 92,536 : x
  2. Step 2: Convert to fraction form
    42,421/92,536 = 92,536/x
  3. Step 3: Cross multiply
    42,421x = 92,536 × 92,536
  4. Step 4: Simplify right side
    42,421x = 8,562,911,296
  5. Step 5: Solve for x
    x = 8,562,911,296/42,421
  6. Step 6: Final answer
    x = 201,855.48

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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.