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Finding the Third Proportional to 57,916.69 and 106,222.50

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Solution

The third proportional to 57,916.69 and 106,222.50 is: 194,818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,916.69 : 106,222.50 = 106,222.50 : x
  2. Step 2: Convert to fraction form
    57,916.69/106,222.50 = 106,222.50/x
  3. Step 3: Cross multiply
    57,916.69x = 106,222.50 × 106,222.50
  4. Step 4: Simplify right side
    57,916.69x = 11,283,219,506.25
  5. Step 5: Solve for x
    x = 11,283,219,506.25/57,916.69
  6. Step 6: Final answer
    x = 194,818.11

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.