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Finding the Third Proportional to 54,402.75 and 84,075.75

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Solution

The third proportional to 54,402.75 and 84,075.75 is: 129,933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,402.75 : 84,075.75 = 84,075.75 : x
  2. Step 2: Convert to fraction form
    54,402.75/84,075.75 = 84,075.75/x
  3. Step 3: Cross multiply
    54,402.75x = 84,075.75 × 84,075.75
  4. Step 4: Simplify right side
    54,402.75x = 7,068,731,738.06
  5. Step 5: Solve for x
    x = 7,068,731,738.06/54,402.75
  6. Step 6: Final answer
    x = 129,933.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.