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Finding the Third Proportional to 55,652.50 and 131,240.50

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Solution

The third proportional to 55,652.50 and 131,240.50 is: 309,493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,652.50 : 131,240.50 = 131,240.50 : x
  2. Step 2: Convert to fraction form
    55,652.50/131,240.50 = 131,240.50/x
  3. Step 3: Cross multiply
    55,652.50x = 131,240.50 × 131,240.50
  4. Step 4: Simplify right side
    55,652.50x = 17,224,068,840.25
  5. Step 5: Solve for x
    x = 17,224,068,840.25/55,652.50
  6. Step 6: Final answer
    x = 309,493.17

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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.