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Finding the Third Proportional to 106,807.50 and 252,130

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Solution

The third proportional to 106,807.50 and 252,130 is: 595,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,807.50 : 252,130 = 252,130 : x
  2. Step 2: Convert to fraction form
    106,807.50/252,130 = 252,130/x
  3. Step 3: Cross multiply
    106,807.50x = 252,130 × 252,130
  4. Step 4: Simplify right side
    106,807.50x = 63,569,536,900
  5. Step 5: Solve for x
    x = 63,569,536,900/106,807.50
  6. Step 6: Final answer
    x = 595,178.59

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.