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Finding the Third Proportional to 83,862 and 180,852

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Solution

The third proportional to 83,862 and 180,852 is: 390,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,862 : 180,852 = 180,852 : x
  2. Step 2: Convert to fraction form
    83,862/180,852 = 180,852/x
  3. Step 3: Cross multiply
    83,862x = 180,852 × 180,852
  4. Step 4: Simplify right side
    83,862x = 32,707,445,904
  5. Step 5: Solve for x
    x = 32,707,445,904/83,862
  6. Step 6: Final answer
    x = 390,015.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.