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Finding the Third Proportional to 57,101.20 and 115,588.50

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Solution

The third proportional to 57,101.20 and 115,588.50 is: 233,982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,101.20 : 115,588.50 = 115,588.50 : x
  2. Step 2: Convert to fraction form
    57,101.20/115,588.50 = 115,588.50/x
  3. Step 3: Cross multiply
    57,101.20x = 115,588.50 × 115,588.50
  4. Step 4: Simplify right side
    57,101.20x = 13,360,702,009.53
  5. Step 5: Solve for x
    x = 13,360,702,009.53/57,101.20
  6. Step 6: Final answer
    x = 233,982.85

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.