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Finding the Third Proportional to 47,409 and 104,658

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Solution

The third proportional to 47,409 and 104,658 is: 231,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,409 : 104,658 = 104,658 : x
  2. Step 2: Convert to fraction form
    47,409/104,658 = 104,658/x
  3. Step 3: Cross multiply
    47,409x = 104,658 × 104,658
  4. Step 4: Simplify right side
    47,409x = 10,953,296,964
  5. Step 5: Solve for x
    x = 10,953,296,964/47,409
  6. Step 6: Final answer
    x = 231,038.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.