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Finding the Third Proportional to 58,619 and 119,309.75

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Solution

The third proportional to 58,619 and 119,309.75 is: 242,836.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,619 : 119,309.75 = 119,309.75 : x
  2. Step 2: Convert to fraction form
    58,619/119,309.75 = 119,309.75/x
  3. Step 3: Cross multiply
    58,619x = 119,309.75 × 119,309.75
  4. Step 4: Simplify right side
    58,619x = 14,234,816,445.06
  5. Step 5: Solve for x
    x = 14,234,816,445.06/58,619
  6. Step 6: Final answer
    x = 242,836.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.