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Finding the Third Proportional to 106,163.50 and 148,811.50

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Solution

The third proportional to 106,163.50 and 148,811.50 is: 208,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,163.50 : 148,811.50 = 148,811.50 : x
  2. Step 2: Convert to fraction form
    106,163.50/148,811.50 = 148,811.50/x
  3. Step 3: Cross multiply
    106,163.50x = 148,811.50 × 148,811.50
  4. Step 4: Simplify right side
    106,163.50x = 22,144,862,532.25
  5. Step 5: Solve for x
    x = 22,144,862,532.25/106,163.50
  6. Step 6: Final answer
    x = 208,592.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.