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Finding the Third Proportional to 108,649.50 and 168,094.50

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Solution

The third proportional to 108,649.50 and 168,094.50 is: 260,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,649.50 : 168,094.50 = 168,094.50 : x
  2. Step 2: Convert to fraction form
    108,649.50/168,094.50 = 168,094.50/x
  3. Step 3: Cross multiply
    108,649.50x = 168,094.50 × 168,094.50
  4. Step 4: Simplify right side
    108,649.50x = 28,255,760,930.25
  5. Step 5: Solve for x
    x = 28,255,760,930.25/108,649.50
  6. Step 6: Final answer
    x = 260,063.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.