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Finding the Third Proportional to 42,626 and 92,038

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Solution

The third proportional to 42,626 and 92,038 is: 198,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,626 : 92,038 = 92,038 : x
  2. Step 2: Convert to fraction form
    42,626/92,038 = 92,038/x
  3. Step 3: Cross multiply
    42,626x = 92,038 × 92,038
  4. Step 4: Simplify right side
    42,626x = 8,470,993,444
  5. Step 5: Solve for x
    x = 8,470,993,444/42,626
  6. Step 6: Final answer
    x = 198,728.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.