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Finding the Third Proportional to 80,113.50 and 185,457.75

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Solution

The third proportional to 80,113.50 and 185,457.75 is: 429,323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,113.50 : 185,457.75 = 185,457.75 : x
  2. Step 2: Convert to fraction form
    80,113.50/185,457.75 = 185,457.75/x
  3. Step 3: Cross multiply
    80,113.50x = 185,457.75 × 185,457.75
  4. Step 4: Simplify right side
    80,113.50x = 34,394,577,035.06
  5. Step 5: Solve for x
    x = 34,394,577,035.06/80,113.50
  6. Step 6: Final answer
    x = 429,323.11

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.