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Finding the Third Proportional to 42,519.25 and 92,809.75

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Solution

The third proportional to 42,519.25 and 92,809.75 is: 202,582.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,519.25 : 92,809.75 = 92,809.75 : x
  2. Step 2: Convert to fraction form
    42,519.25/92,809.75 = 92,809.75/x
  3. Step 3: Cross multiply
    42,519.25x = 92,809.75 × 92,809.75
  4. Step 4: Simplify right side
    42,519.25x = 8,613,649,695.06
  5. Step 5: Solve for x
    x = 8,613,649,695.06/42,519.25
  6. Step 6: Final answer
    x = 202,582.35

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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.