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Finding the Third Proportional to 111,374 and 172,719

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Solution

The third proportional to 111,374 and 172,719 is: 267,852.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,374 : 172,719 = 172,719 : x
  2. Step 2: Convert to fraction form
    111,374/172,719 = 172,719/x
  3. Step 3: Cross multiply
    111,374x = 172,719 × 172,719
  4. Step 4: Simplify right side
    111,374x = 29,831,852,961
  5. Step 5: Solve for x
    x = 29,831,852,961/111,374
  6. Step 6: Final answer
    x = 267,852.94

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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.