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Finding the Third Proportional to 54,357.19 and 83,157.19

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Solution

The third proportional to 54,357.19 and 83,157.19 is: 127,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,357.19 : 83,157.19 = 83,157.19 : x
  2. Step 2: Convert to fraction form
    54,357.19/83,157.19 = 83,157.19/x
  3. Step 3: Cross multiply
    54,357.19x = 83,157.19 × 83,157.19
  4. Step 4: Simplify right side
    54,357.19x = 6,915,117,832.91
  5. Step 5: Solve for x
    x = 6,915,117,832.91/54,357.19
  6. Step 6: Final answer
    x = 127,216.26

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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.