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Finding the Third Proportional to 57,577.50 and 135,722.25

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Solution

The third proportional to 57,577.50 and 135,722.25 is: 319,925.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,577.50 : 135,722.25 = 135,722.25 : x
  2. Step 2: Convert to fraction form
    57,577.50/135,722.25 = 135,722.25/x
  3. Step 3: Cross multiply
    57,577.50x = 135,722.25 × 135,722.25
  4. Step 4: Simplify right side
    57,577.50x = 18,420,529,145.06
  5. Step 5: Solve for x
    x = 18,420,529,145.06/57,577.50
  6. Step 6: Final answer
    x = 319,925.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.