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Finding the Third Proportional to 45,864 and 107,038

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Solution

The third proportional to 45,864 and 107,038 is: 249,806.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,864 : 107,038 = 107,038 : x
  2. Step 2: Convert to fraction form
    45,864/107,038 = 107,038/x
  3. Step 3: Cross multiply
    45,864x = 107,038 × 107,038
  4. Step 4: Simplify right side
    45,864x = 11,457,133,444
  5. Step 5: Solve for x
    x = 11,457,133,444/45,864
  6. Step 6: Final answer
    x = 249,806.68

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.