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Finding the Third Proportional to 84,178 and 180,030

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Solution

The third proportional to 84,178 and 180,030 is: 385,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,178 : 180,030 = 180,030 : x
  2. Step 2: Convert to fraction form
    84,178/180,030 = 180,030/x
  3. Step 3: Cross multiply
    84,178x = 180,030 × 180,030
  4. Step 4: Simplify right side
    84,178x = 32,410,800,900
  5. Step 5: Solve for x
    x = 32,410,800,900/84,178
  6. Step 6: Final answer
    x = 385,026.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.