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Finding the Third Proportional to 94,123 and 183,516.50

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Solution

The third proportional to 94,123 and 183,516.50 is: 357,811.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,123 : 183,516.50 = 183,516.50 : x
  2. Step 2: Convert to fraction form
    94,123/183,516.50 = 183,516.50/x
  3. Step 3: Cross multiply
    94,123x = 183,516.50 × 183,516.50
  4. Step 4: Simplify right side
    94,123x = 33,678,305,772.25
  5. Step 5: Solve for x
    x = 33,678,305,772.25/94,123
  6. Step 6: Final answer
    x = 357,811.65

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.