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Finding the Third Proportional to 80,156.25 and 173,029.50

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Solution

The third proportional to 80,156.25 and 173,029.50 is: 373,510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,156.25 : 173,029.50 = 173,029.50 : x
  2. Step 2: Convert to fraction form
    80,156.25/173,029.50 = 173,029.50/x
  3. Step 3: Cross multiply
    80,156.25x = 173,029.50 × 173,029.50
  4. Step 4: Simplify right side
    80,156.25x = 29,939,207,870.25
  5. Step 5: Solve for x
    x = 29,939,207,870.25/80,156.25
  6. Step 6: Final answer
    x = 373,510.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.