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Finding the Third Proportional to 58,954.50 and 129,120.75

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Solution

The third proportional to 58,954.50 and 129,120.75 is: 282,797.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,954.50 : 129,120.75 = 129,120.75 : x
  2. Step 2: Convert to fraction form
    58,954.50/129,120.75 = 129,120.75/x
  3. Step 3: Cross multiply
    58,954.50x = 129,120.75 × 129,120.75
  4. Step 4: Simplify right side
    58,954.50x = 16,672,168,080.56
  5. Step 5: Solve for x
    x = 16,672,168,080.56/58,954.50
  6. Step 6: Final answer
    x = 282,797.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.