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Finding the Third Proportional to 108,946 and 168,343

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Solution

The third proportional to 108,946 and 168,343 is: 260,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,946 : 168,343 = 168,343 : x
  2. Step 2: Convert to fraction form
    108,946/168,343 = 168,343/x
  3. Step 3: Cross multiply
    108,946x = 168,343 × 168,343
  4. Step 4: Simplify right side
    108,946x = 28,339,365,649
  5. Step 5: Solve for x
    x = 28,339,365,649/108,946
  6. Step 6: Final answer
    x = 260,123.05

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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.