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Finding the Third Proportional to 84,656 and 180,562

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Solution

The third proportional to 84,656 and 180,562 is: 385,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,656 : 180,562 = 180,562 : x
  2. Step 2: Convert to fraction form
    84,656/180,562 = 180,562/x
  3. Step 3: Cross multiply
    84,656x = 180,562 × 180,562
  4. Step 4: Simplify right side
    84,656x = 32,602,635,844
  5. Step 5: Solve for x
    x = 32,602,635,844/84,656
  6. Step 6: Final answer
    x = 385,119.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.