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Finding the Third Proportional to 42,634 and 92,898

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Solution

The third proportional to 42,634 and 92,898 is: 202,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,634 : 92,898 = 92,898 : x
  2. Step 2: Convert to fraction form
    42,634/92,898 = 92,898/x
  3. Step 3: Cross multiply
    42,634x = 92,898 × 92,898
  4. Step 4: Simplify right side
    42,634x = 8,630,038,404
  5. Step 5: Solve for x
    x = 8,630,038,404/42,634
  6. Step 6: Final answer
    x = 202,421.50

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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.