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Finding the Third Proportional to 47,712 and 101,184

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Solution

The third proportional to 47,712 and 101,184 is: 214,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712 : 101,184 = 101,184 : x
  2. Step 2: Convert to fraction form
    47,712/101,184 = 101,184/x
  3. Step 3: Cross multiply
    47,712x = 101,184 × 101,184
  4. Step 4: Simplify right side
    47,712x = 10,238,201,856
  5. Step 5: Solve for x
    x = 10,238,201,856/47,712
  6. Step 6: Final answer
    x = 214,583.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.