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Finding the Third Proportional to 45,862 and 107,033

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Solution

The third proportional to 45,862 and 107,033 is: 249,794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,862 : 107,033 = 107,033 : x
  2. Step 2: Convert to fraction form
    45,862/107,033 = 107,033/x
  3. Step 3: Cross multiply
    45,862x = 107,033 × 107,033
  4. Step 4: Simplify right side
    45,862x = 11,456,063,089
  5. Step 5: Solve for x
    x = 11,456,063,089/45,862
  6. Step 6: Final answer
    x = 249,794.23

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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.