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Finding the Third Proportional to 108,106.50 and 171,778.50

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Solution

The third proportional to 108,106.50 and 171,778.50 is: 272,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,106.50 : 171,778.50 = 171,778.50 : x
  2. Step 2: Convert to fraction form
    108,106.50/171,778.50 = 171,778.50/x
  3. Step 3: Cross multiply
    108,106.50x = 171,778.50 × 171,778.50
  4. Step 4: Simplify right side
    108,106.50x = 29,507,853,062.25
  5. Step 5: Solve for x
    x = 29,507,853,062.25/108,106.50
  6. Step 6: Final answer
    x = 272,951.70

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.