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Finding the Third Proportional to 46,030 and 68,169

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Solution

The third proportional to 46,030 and 68,169 is: 100,956.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,030 : 68,169 = 68,169 : x
  2. Step 2: Convert to fraction form
    46,030/68,169 = 68,169/x
  3. Step 3: Cross multiply
    46,030x = 68,169 × 68,169
  4. Step 4: Simplify right side
    46,030x = 4,647,012,561
  5. Step 5: Solve for x
    x = 4,647,012,561/46,030
  6. Step 6: Final answer
    x = 100,956.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.