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Finding the Third Proportional to 94,223.25 and 143,916.75

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Solution

The third proportional to 94,223.25 and 143,916.75 is: 219,818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,223.25 : 143,916.75 = 143,916.75 : x
  2. Step 2: Convert to fraction form
    94,223.25/143,916.75 = 143,916.75/x
  3. Step 3: Cross multiply
    94,223.25x = 143,916.75 × 143,916.75
  4. Step 4: Simplify right side
    94,223.25x = 20,712,030,930.56
  5. Step 5: Solve for x
    x = 20,712,030,930.56/94,223.25
  6. Step 6: Final answer
    x = 219,818.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.