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Finding the Third Proportional to 108,256.50 and 162,863.16

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Solution

The third proportional to 108,256.50 and 162,863.16 is: 245,014.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,256.50 : 162,863.16 = 162,863.16 : x
  2. Step 2: Convert to fraction form
    108,256.50/162,863.16 = 162,863.16/x
  3. Step 3: Cross multiply
    108,256.50x = 162,863.16 × 162,863.16
  4. Step 4: Simplify right side
    108,256.50x = 26,524,407,663.71
  5. Step 5: Solve for x
    x = 26,524,407,663.71/108,256.50
  6. Step 6: Final answer
    x = 245,014.46

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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.