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Finding the Third Proportional to 49,210 and 76,406

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Solution

The third proportional to 49,210 and 76,406 is: 118,631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,210 : 76,406 = 76,406 : x
  2. Step 2: Convert to fraction form
    49,210/76,406 = 76,406/x
  3. Step 3: Cross multiply
    49,210x = 76,406 × 76,406
  4. Step 4: Simplify right side
    49,210x = 5,837,876,836
  5. Step 5: Solve for x
    x = 5,837,876,836/49,210
  6. Step 6: Final answer
    x = 118,631.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.