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Finding the Third Proportional to 47,862 and 104,787

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Solution

The third proportional to 47,862 and 104,787 is: 229,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,862 : 104,787 = 104,787 : x
  2. Step 2: Convert to fraction form
    47,862/104,787 = 104,787/x
  3. Step 3: Cross multiply
    47,862x = 104,787 × 104,787
  4. Step 4: Simplify right side
    47,862x = 10,980,315,369
  5. Step 5: Solve for x
    x = 10,980,315,369/47,862
  6. Step 6: Final answer
    x = 229,416.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.