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Finding the Third Proportional to 84,867.75 and 176,706.56

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Solution

The third proportional to 84,867.75 and 176,706.56 is: 367,927.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,867.75 : 176,706.56 = 176,706.56 : x
  2. Step 2: Convert to fraction form
    84,867.75/176,706.56 = 176,706.56/x
  3. Step 3: Cross multiply
    84,867.75x = 176,706.56 × 176,706.56
  4. Step 4: Simplify right side
    84,867.75x = 31,225,209,230.57
  5. Step 5: Solve for x
    x = 31,225,209,230.57/84,867.75
  6. Step 6: Final answer
    x = 367,927.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.