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Finding the Third Proportional to 109,375 and 156,406

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Solution

The third proportional to 109,375 and 156,406 is: 223,660.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,375 : 156,406 = 156,406 : x
  2. Step 2: Convert to fraction form
    109,375/156,406 = 156,406/x
  3. Step 3: Cross multiply
    109,375x = 156,406 × 156,406
  4. Step 4: Simplify right side
    109,375x = 24,462,836,836
  5. Step 5: Solve for x
    x = 24,462,836,836/109,375
  6. Step 6: Final answer
    x = 223,660.22

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.