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Finding the Third Proportional to 40,421 and 88,786

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Solution

The third proportional to 40,421 and 88,786 is: 195,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,421 : 88,786 = 88,786 : x
  2. Step 2: Convert to fraction form
    40,421/88,786 = 88,786/x
  3. Step 3: Cross multiply
    40,421x = 88,786 × 88,786
  4. Step 4: Simplify right side
    40,421x = 7,882,953,796
  5. Step 5: Solve for x
    x = 7,882,953,796/40,421
  6. Step 6: Final answer
    x = 195,021.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.