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Finding the Third Proportional to 139,485 and 202,747.50

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Solution

The third proportional to 139,485 and 202,747.50 is: 294,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,485 : 202,747.50 = 202,747.50 : x
  2. Step 2: Convert to fraction form
    139,485/202,747.50 = 202,747.50/x
  3. Step 3: Cross multiply
    139,485x = 202,747.50 × 202,747.50
  4. Step 4: Simplify right side
    139,485x = 41,106,548,756.25
  5. Step 5: Solve for x
    x = 41,106,548,756.25/139,485
  6. Step 6: Final answer
    x = 294,702.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.