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Finding the Third Proportional to 42,875 and 92,878

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Solution

The third proportional to 42,875 and 92,878 is: 201,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,875 : 92,878 = 92,878 : x
  2. Step 2: Convert to fraction form
    42,875/92,878 = 92,878/x
  3. Step 3: Cross multiply
    42,875x = 92,878 × 92,878
  4. Step 4: Simplify right side
    42,875x = 8,626,322,884
  5. Step 5: Solve for x
    x = 8,626,322,884/42,875
  6. Step 6: Final answer
    x = 201,197.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.