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Finding the Third Proportional to 52,707.38 and 84,300.75

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Solution

The third proportional to 52,707.38 and 84,300.75 is: 134,831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,707.38 : 84,300.75 = 84,300.75 : x
  2. Step 2: Convert to fraction form
    52,707.38/84,300.75 = 84,300.75/x
  3. Step 3: Cross multiply
    52,707.38x = 84,300.75 × 84,300.75
  4. Step 4: Simplify right side
    52,707.38x = 7,106,616,450.56
  5. Step 5: Solve for x
    x = 7,106,616,450.56/52,707.38
  6. Step 6: Final answer
    x = 134,831.54

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.