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Finding the Third Proportional to 49,582.50 and 109,008

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Solution

The third proportional to 49,582.50 and 109,008 is: 239,656.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,582.50 : 109,008 = 109,008 : x
  2. Step 2: Convert to fraction form
    49,582.50/109,008 = 109,008/x
  3. Step 3: Cross multiply
    49,582.50x = 109,008 × 109,008
  4. Step 4: Simplify right side
    49,582.50x = 11,882,744,064
  5. Step 5: Solve for x
    x = 11,882,744,064/49,582.50
  6. Step 6: Final answer
    x = 239,656.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.