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Finding the Third Proportional to 49,148 and 74,128

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Solution

The third proportional to 49,148 and 74,128 is: 111,804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,148 : 74,128 = 74,128 : x
  2. Step 2: Convert to fraction form
    49,148/74,128 = 74,128/x
  3. Step 3: Cross multiply
    49,148x = 74,128 × 74,128
  4. Step 4: Simplify right side
    49,148x = 5,494,960,384
  5. Step 5: Solve for x
    x = 5,494,960,384/49,148
  6. Step 6: Final answer
    x = 111,804.35

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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.