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Finding the Third Proportional to 49,192.69 and 71,852.63

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Solution

The third proportional to 49,192.69 and 71,852.63 is: 104,950.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,192.69 : 71,852.63 = 71,852.63 : x
  2. Step 2: Convert to fraction form
    49,192.69/71,852.63 = 71,852.63/x
  3. Step 3: Cross multiply
    49,192.69x = 71,852.63 × 71,852.63
  4. Step 4: Simplify right side
    49,192.69x = 5,162,799,719.39
  5. Step 5: Solve for x
    x = 5,162,799,719.39/49,192.69
  6. Step 6: Final answer
    x = 104,950.55

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.