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Finding the Third Proportional to 84,420 and 180,139.50

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Solution

The third proportional to 84,420 and 180,139.50 is: 384,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,420 : 180,139.50 = 180,139.50 : x
  2. Step 2: Convert to fraction form
    84,420/180,139.50 = 180,139.50/x
  3. Step 3: Cross multiply
    84,420x = 180,139.50 × 180,139.50
  4. Step 4: Simplify right side
    84,420x = 32,450,239,460.25
  5. Step 5: Solve for x
    x = 32,450,239,460.25/84,420
  6. Step 6: Final answer
    x = 384,390.42

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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.