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Finding the Third Proportional to 49,100.25 and 75,079.50

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Solution

The third proportional to 49,100.25 and 75,079.50 is: 114,804.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,100.25 : 75,079.50 = 75,079.50 : x
  2. Step 2: Convert to fraction form
    49,100.25/75,079.50 = 75,079.50/x
  3. Step 3: Cross multiply
    49,100.25x = 75,079.50 × 75,079.50
  4. Step 4: Simplify right side
    49,100.25x = 5,636,931,320.25
  5. Step 5: Solve for x
    x = 5,636,931,320.25/49,100.25
  6. Step 6: Final answer
    x = 114,804.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.