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Finding the Third Proportional to 82,135 and 176,539.50

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Solution

The third proportional to 82,135 and 176,539.50 is: 379,450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,135 : 176,539.50 = 176,539.50 : x
  2. Step 2: Convert to fraction form
    82,135/176,539.50 = 176,539.50/x
  3. Step 3: Cross multiply
    82,135x = 176,539.50 × 176,539.50
  4. Step 4: Simplify right side
    82,135x = 31,166,195,060.25
  5. Step 5: Solve for x
    x = 31,166,195,060.25/82,135
  6. Step 6: Final answer
    x = 379,450.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.