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Finding the Third Proportional to 55,707.75 and 83,561.63

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Solution

The third proportional to 55,707.75 and 83,561.63 is: 125,342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,707.75 : 83,561.63 = 83,561.63 : x
  2. Step 2: Convert to fraction form
    55,707.75/83,561.63 = 83,561.63/x
  3. Step 3: Cross multiply
    55,707.75x = 83,561.63 × 83,561.63
  4. Step 4: Simplify right side
    55,707.75x = 6,982,545,172.64
  5. Step 5: Solve for x
    x = 6,982,545,172.64/55,707.75
  6. Step 6: Final answer
    x = 125,342.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.