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Finding the Third Proportional to 57,703.50 and 130,223.25

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Solution

The third proportional to 57,703.50 and 130,223.25 is: 293,883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,703.50 : 130,223.25 = 130,223.25 : x
  2. Step 2: Convert to fraction form
    57,703.50/130,223.25 = 130,223.25/x
  3. Step 3: Cross multiply
    57,703.50x = 130,223.25 × 130,223.25
  4. Step 4: Simplify right side
    57,703.50x = 16,958,094,840.56
  5. Step 5: Solve for x
    x = 16,958,094,840.56/57,703.50
  6. Step 6: Final answer
    x = 293,883.30

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.