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Finding the Third Proportional to 48,421 and 106,346

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Solution

The third proportional to 48,421 and 106,346 is: 233,565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,421 : 106,346 = 106,346 : x
  2. Step 2: Convert to fraction form
    48,421/106,346 = 106,346/x
  3. Step 3: Cross multiply
    48,421x = 106,346 × 106,346
  4. Step 4: Simplify right side
    48,421x = 11,309,471,716
  5. Step 5: Solve for x
    x = 11,309,471,716/48,421
  6. Step 6: Final answer
    x = 233,565.43

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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.