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Finding the Third Proportional to 51,030 and 106,707.38

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Solution

The third proportional to 51,030 and 106,707.38 is: 223,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,030 : 106,707.38 = 106,707.38 : x
  2. Step 2: Convert to fraction form
    51,030/106,707.38 = 106,707.38/x
  3. Step 3: Cross multiply
    51,030x = 106,707.38 × 106,707.38
  4. Step 4: Simplify right side
    51,030x = 11,386,463,879.39
  5. Step 5: Solve for x
    x = 11,386,463,879.39/51,030
  6. Step 6: Final answer
    x = 223,132.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.