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Finding the Third Proportional to 40,548 and 87,063

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Solution

The third proportional to 40,548 and 87,063 is: 186,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,548 : 87,063 = 87,063 : x
  2. Step 2: Convert to fraction form
    40,548/87,063 = 87,063/x
  3. Step 3: Cross multiply
    40,548x = 87,063 × 87,063
  4. Step 4: Simplify right side
    40,548x = 7,579,965,969
  5. Step 5: Solve for x
    x = 7,579,965,969/40,548
  6. Step 6: Final answer
    x = 186,938.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.