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Finding the Third Proportional to 73,788.75 and 161,428.50

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Solution

The third proportional to 73,788.75 and 161,428.50 is: 353,158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,788.75 : 161,428.50 = 161,428.50 : x
  2. Step 2: Convert to fraction form
    73,788.75/161,428.50 = 161,428.50/x
  3. Step 3: Cross multiply
    73,788.75x = 161,428.50 × 161,428.50
  4. Step 4: Simplify right side
    73,788.75x = 26,059,160,612.25
  5. Step 5: Solve for x
    x = 26,059,160,612.25/73,788.75
  6. Step 6: Final answer
    x = 353,158.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.