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Finding the Third Proportional to 108,274.50 and 162,247.50

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Solution

The third proportional to 108,274.50 and 162,247.50 is: 243,125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,274.50 : 162,247.50 = 162,247.50 : x
  2. Step 2: Convert to fraction form
    108,274.50/162,247.50 = 162,247.50/x
  3. Step 3: Cross multiply
    108,274.50x = 162,247.50 × 162,247.50
  4. Step 4: Simplify right side
    108,274.50x = 26,324,251,256.25
  5. Step 5: Solve for x
    x = 26,324,251,256.25/108,274.50
  6. Step 6: Final answer
    x = 243,125.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.