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Finding the Third Proportional to 80,173.13 and 173,056.50

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Solution

The third proportional to 80,173.13 and 173,056.50 is: 373,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,173.13 : 173,056.50 = 173,056.50 : x
  2. Step 2: Convert to fraction form
    80,173.13/173,056.50 = 173,056.50/x
  3. Step 3: Cross multiply
    80,173.13x = 173,056.50 × 173,056.50
  4. Step 4: Simplify right side
    80,173.13x = 29,948,552,192.25
  5. Step 5: Solve for x
    x = 29,948,552,192.25/80,173.13
  6. Step 6: Final answer
    x = 373,548.52

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Why These Related Problems?

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