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Finding the Third Proportional to 42,840 and 92,808

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Solution

The third proportional to 42,840 and 92,808 is: 201,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,840 : 92,808 = 92,808 : x
  2. Step 2: Convert to fraction form
    42,840/92,808 = 92,808/x
  3. Step 3: Cross multiply
    42,840x = 92,808 × 92,808
  4. Step 4: Simplify right side
    42,840x = 8,613,324,864
  5. Step 5: Solve for x
    x = 8,613,324,864/42,840
  6. Step 6: Final answer
    x = 201,058.00

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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.