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Finding the Third Proportional to 49,153.50 and 74,133

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Solution

The third proportional to 49,153.50 and 74,133 is: 111,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,153.50 : 74,133 = 74,133 : x
  2. Step 2: Convert to fraction form
    49,153.50/74,133 = 74,133/x
  3. Step 3: Cross multiply
    49,153.50x = 74,133 × 74,133
  4. Step 4: Simplify right side
    49,153.50x = 5,495,701,689
  5. Step 5: Solve for x
    x = 5,495,701,689/49,153.50
  6. Step 6: Final answer
    x = 111,806.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.