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Finding the Third Proportional to 54,329.06 and 83,108.81

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Solution

The third proportional to 54,329.06 and 83,108.81 is: 127,134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,329.06 : 83,108.81 = 83,108.81 : x
  2. Step 2: Convert to fraction form
    54,329.06/83,108.81 = 83,108.81/x
  3. Step 3: Cross multiply
    54,329.06x = 83,108.81 × 83,108.81
  4. Step 4: Simplify right side
    54,329.06x = 6,907,074,715.16
  5. Step 5: Solve for x
    x = 6,907,074,715.16/54,329.06
  6. Step 6: Final answer
    x = 127,134.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.