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Finding the Third Proportional to 108,607.50 and 132,664.50

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Solution

The third proportional to 108,607.50 and 132,664.50 is: 162,050.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,607.50 : 132,664.50 = 132,664.50 : x
  2. Step 2: Convert to fraction form
    108,607.50/132,664.50 = 132,664.50/x
  3. Step 3: Cross multiply
    108,607.50x = 132,664.50 × 132,664.50
  4. Step 4: Simplify right side
    108,607.50x = 17,599,869,560.25
  5. Step 5: Solve for x
    x = 17,599,869,560.25/108,607.50
  6. Step 6: Final answer
    x = 162,050.22

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.