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Finding the Third Proportional to 54,068 and 83,153

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Solution

The third proportional to 54,068 and 83,153 is: 127,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,068 : 83,153 = 83,153 : x
  2. Step 2: Convert to fraction form
    54,068/83,153 = 83,153/x
  3. Step 3: Cross multiply
    54,068x = 83,153 × 83,153
  4. Step 4: Simplify right side
    54,068x = 6,914,421,409
  5. Step 5: Solve for x
    x = 6,914,421,409/54,068
  6. Step 6: Final answer
    x = 127,883.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.