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Finding the Third Proportional to 108,261 and 170,066

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Solution

The third proportional to 108,261 and 170,066 is: 267,154.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,261 : 170,066 = 170,066 : x
  2. Step 2: Convert to fraction form
    108,261/170,066 = 170,066/x
  3. Step 3: Cross multiply
    108,261x = 170,066 × 170,066
  4. Step 4: Simplify right side
    108,261x = 28,922,444,356
  5. Step 5: Solve for x
    x = 28,922,444,356/108,261
  6. Step 6: Final answer
    x = 267,154.79

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.