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Finding the Third Proportional to 71,877.50 and 102,923.25

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Solution

The third proportional to 71,877.50 and 102,923.25 is: 147,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,877.50 : 102,923.25 = 102,923.25 : x
  2. Step 2: Convert to fraction form
    71,877.50/102,923.25 = 102,923.25/x
  3. Step 3: Cross multiply
    71,877.50x = 102,923.25 × 102,923.25
  4. Step 4: Simplify right side
    71,877.50x = 10,593,195,390.56
  5. Step 5: Solve for x
    x = 10,593,195,390.56/71,877.50
  6. Step 6: Final answer
    x = 147,378.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.