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Finding the Third Proportional to 108,004.50 and 148,320

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Solution

The third proportional to 108,004.50 and 148,320 is: 203,684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,004.50 : 148,320 = 148,320 : x
  2. Step 2: Convert to fraction form
    108,004.50/148,320 = 148,320/x
  3. Step 3: Cross multiply
    108,004.50x = 148,320 × 148,320
  4. Step 4: Simplify right side
    108,004.50x = 21,998,822,400
  5. Step 5: Solve for x
    x = 21,998,822,400/108,004.50
  6. Step 6: Final answer
    x = 203,684.31

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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.