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Finding the Third Proportional to 45,948 and 100,101

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Solution

The third proportional to 45,948 and 100,101 is: 218,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,948 : 100,101 = 100,101 : x
  2. Step 2: Convert to fraction form
    45,948/100,101 = 100,101/x
  3. Step 3: Cross multiply
    45,948x = 100,101 × 100,101
  4. Step 4: Simplify right side
    45,948x = 10,020,210,201
  5. Step 5: Solve for x
    x = 10,020,210,201/45,948
  6. Step 6: Final answer
    x = 218,077.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.