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Finding the Third Proportional to 84,763.13 and 180,771.75

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Solution

The third proportional to 84,763.13 and 180,771.75 is: 385,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,763.13 : 180,771.75 = 180,771.75 : x
  2. Step 2: Convert to fraction form
    84,763.13/180,771.75 = 180,771.75/x
  3. Step 3: Cross multiply
    84,763.13x = 180,771.75 × 180,771.75
  4. Step 4: Simplify right side
    84,763.13x = 32,678,425,598.06
  5. Step 5: Solve for x
    x = 32,678,425,598.06/84,763.13
  6. Step 6: Final answer
    x = 385,526.44

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.