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Finding the Third Proportional to 49,023 and 106,342

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Solution

The third proportional to 49,023 and 106,342 is: 230,679.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,023 : 106,342 = 106,342 : x
  2. Step 2: Convert to fraction form
    49,023/106,342 = 106,342/x
  3. Step 3: Cross multiply
    49,023x = 106,342 × 106,342
  4. Step 4: Simplify right side
    49,023x = 11,308,620,964
  5. Step 5: Solve for x
    x = 11,308,620,964/49,023
  6. Step 6: Final answer
    x = 230,679.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.