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Finding the Third Proportional to 40,260 and 85,886

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Solution

The third proportional to 40,260 and 85,886 is: 183,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,260 : 85,886 = 85,886 : x
  2. Step 2: Convert to fraction form
    40,260/85,886 = 85,886/x
  3. Step 3: Cross multiply
    40,260x = 85,886 × 85,886
  4. Step 4: Simplify right side
    40,260x = 7,376,404,996
  5. Step 5: Solve for x
    x = 7,376,404,996/40,260
  6. Step 6: Final answer
    x = 183,219.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.