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Finding the Third Proportional to 84,510 and 177,159

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Solution

The third proportional to 84,510 and 177,159 is: 371,379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,510 : 177,159 = 177,159 : x
  2. Step 2: Convert to fraction form
    84,510/177,159 = 177,159/x
  3. Step 3: Cross multiply
    84,510x = 177,159 × 177,159
  4. Step 4: Simplify right side
    84,510x = 31,385,311,281
  5. Step 5: Solve for x
    x = 31,385,311,281/84,510
  6. Step 6: Final answer
    x = 371,379.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.