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Finding the Third Proportional to 109,373.50 and 171,350

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Solution

The third proportional to 109,373.50 and 171,350 is: 268,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,373.50 : 171,350 = 171,350 : x
  2. Step 2: Convert to fraction form
    109,373.50/171,350 = 171,350/x
  3. Step 3: Cross multiply
    109,373.50x = 171,350 × 171,350
  4. Step 4: Simplify right side
    109,373.50x = 29,360,822,500
  5. Step 5: Solve for x
    x = 29,360,822,500/109,373.50
  6. Step 6: Final answer
    x = 268,445.49

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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.