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Finding the Third Proportional to 109,136 and 168,571

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Solution

The third proportional to 109,136 and 168,571 is: 260,374.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,136 : 168,571 = 168,571 : x
  2. Step 2: Convert to fraction form
    109,136/168,571 = 168,571/x
  3. Step 3: Cross multiply
    109,136x = 168,571 × 168,571
  4. Step 4: Simplify right side
    109,136x = 28,416,182,041
  5. Step 5: Solve for x
    x = 28,416,182,041/109,136
  6. Step 6: Final answer
    x = 260,374.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.