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Finding the Third Proportional to 108,085 and 161,695.50

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Solution

The third proportional to 108,085 and 161,695.50 is: 241,896.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,085 : 161,695.50 = 161,695.50 : x
  2. Step 2: Convert to fraction form
    108,085/161,695.50 = 161,695.50/x
  3. Step 3: Cross multiply
    108,085x = 161,695.50 × 161,695.50
  4. Step 4: Simplify right side
    108,085x = 26,145,434,720.25
  5. Step 5: Solve for x
    x = 26,145,434,720.25/108,085
  6. Step 6: Final answer
    x = 241,896.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.