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Finding the Third Proportional to 105,664.50 and 143,916.75

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Solution

The third proportional to 105,664.50 and 143,916.75 is: 196,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,664.50 : 143,916.75 = 143,916.75 : x
  2. Step 2: Convert to fraction form
    105,664.50/143,916.75 = 143,916.75/x
  3. Step 3: Cross multiply
    105,664.50x = 143,916.75 × 143,916.75
  4. Step 4: Simplify right side
    105,664.50x = 20,712,030,930.56
  5. Step 5: Solve for x
    x = 20,712,030,930.56/105,664.50
  6. Step 6: Final answer
    x = 196,016.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.