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Finding the Third Proportional to 100,428.50 and 137,711.50

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Solution

The third proportional to 100,428.50 and 137,711.50 is: 188,835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,428.50 : 137,711.50 = 137,711.50 : x
  2. Step 2: Convert to fraction form
    100,428.50/137,711.50 = 137,711.50/x
  3. Step 3: Cross multiply
    100,428.50x = 137,711.50 × 137,711.50
  4. Step 4: Simplify right side
    100,428.50x = 18,964,457,232.25
  5. Step 5: Solve for x
    x = 18,964,457,232.25/100,428.50
  6. Step 6: Final answer
    x = 188,835.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.