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Finding the Third Proportional to 84,218 and 180,106

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Solution

The third proportional to 84,218 and 180,106 is: 385,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,218 : 180,106 = 180,106 : x
  2. Step 2: Convert to fraction form
    84,218/180,106 = 180,106/x
  3. Step 3: Cross multiply
    84,218x = 180,106 × 180,106
  4. Step 4: Simplify right side
    84,218x = 32,438,171,236
  5. Step 5: Solve for x
    x = 32,438,171,236/84,218
  6. Step 6: Final answer
    x = 385,169.10

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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.