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Finding the Third Proportional to 108,002 and 145,391.50

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Solution

The third proportional to 108,002 and 145,391.50 is: 195,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,002 : 145,391.50 = 145,391.50 : x
  2. Step 2: Convert to fraction form
    108,002/145,391.50 = 145,391.50/x
  3. Step 3: Cross multiply
    108,002x = 145,391.50 × 145,391.50
  4. Step 4: Simplify right side
    108,002x = 21,138,688,272.25
  5. Step 5: Solve for x
    x = 21,138,688,272.25/108,002
  6. Step 6: Final answer
    x = 195,724.97

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.