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Finding the Third Proportional to 108,025.31 and 163,530.56

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Solution

The third proportional to 108,025.31 and 163,530.56 is: 247,555.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,025.31 : 163,530.56 = 163,530.56 : x
  2. Step 2: Convert to fraction form
    108,025.31/163,530.56 = 163,530.56/x
  3. Step 3: Cross multiply
    108,025.31x = 163,530.56 × 163,530.56
  4. Step 4: Simplify right side
    108,025.31x = 26,742,244,871.57
  5. Step 5: Solve for x
    x = 26,742,244,871.57/108,025.31
  6. Step 6: Final answer
    x = 247,555.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.