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Finding the Third Proportional to 134,122.50 and 290,025

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Solution

The third proportional to 134,122.50 and 290,025 is: 627,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,122.50 : 290,025 = 290,025 : x
  2. Step 2: Convert to fraction form
    134,122.50/290,025 = 290,025/x
  3. Step 3: Cross multiply
    134,122.50x = 290,025 × 290,025
  4. Step 4: Simplify right side
    134,122.50x = 84,114,500,625
  5. Step 5: Solve for x
    x = 84,114,500,625/134,122.50
  6. Step 6: Final answer
    x = 627,146.83

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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.