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Finding the Third Proportional to 49,095 and 75,071

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Solution

The third proportional to 49,095 and 75,071 is: 114,790.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,095 : 75,071 = 75,071 : x
  2. Step 2: Convert to fraction form
    49,095/75,071 = 75,071/x
  3. Step 3: Cross multiply
    49,095x = 75,071 × 75,071
  4. Step 4: Simplify right side
    49,095x = 5,635,655,041
  5. Step 5: Solve for x
    x = 5,635,655,041/49,095
  6. Step 6: Final answer
    x = 114,790.81

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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.