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Finding the Third Proportional to 108,957 and 169,410

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Solution

The third proportional to 108,957 and 169,410 is: 263,404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,957 : 169,410 = 169,410 : x
  2. Step 2: Convert to fraction form
    108,957/169,410 = 169,410/x
  3. Step 3: Cross multiply
    108,957x = 169,410 × 169,410
  4. Step 4: Simplify right side
    108,957x = 28,699,748,100
  5. Step 5: Solve for x
    x = 28,699,748,100/108,957
  6. Step 6: Final answer
    x = 263,404.35

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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.