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Finding the Third Proportional to 49,155 and 74,135.25

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Solution

The third proportional to 49,155 and 74,135.25 is: 111,810.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,155 : 74,135.25 = 74,135.25 : x
  2. Step 2: Convert to fraction form
    49,155/74,135.25 = 74,135.25/x
  3. Step 3: Cross multiply
    49,155x = 74,135.25 × 74,135.25
  4. Step 4: Simplify right side
    49,155x = 5,496,035,292.56
  5. Step 5: Solve for x
    x = 5,496,035,292.56/49,155
  6. Step 6: Final answer
    x = 111,810.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.