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Finding the Third Proportional to 49,050 and 73,209

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Solution

The third proportional to 49,050 and 73,209 is: 109,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,050 : 73,209 = 73,209 : x
  2. Step 2: Convert to fraction form
    49,050/73,209 = 73,209/x
  3. Step 3: Cross multiply
    49,050x = 73,209 × 73,209
  4. Step 4: Simplify right side
    49,050x = 5,359,557,681
  5. Step 5: Solve for x
    x = 5,359,557,681/49,050
  6. Step 6: Final answer
    x = 109,267.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.