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Finding the Third Proportional to 108,009 and 148,324.50

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Solution

The third proportional to 108,009 and 148,324.50 is: 203,688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,009 : 148,324.50 = 148,324.50 : x
  2. Step 2: Convert to fraction form
    108,009/148,324.50 = 148,324.50/x
  3. Step 3: Cross multiply
    108,009x = 148,324.50 × 148,324.50
  4. Step 4: Simplify right side
    108,009x = 22,000,157,300.25
  5. Step 5: Solve for x
    x = 22,000,157,300.25/108,009
  6. Step 6: Final answer
    x = 203,688.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.