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Finding the Third Proportional to 91,729 and 187,346

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Solution

The third proportional to 91,729 and 187,346 is: 382,632.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,729 : 187,346 = 187,346 : x
  2. Step 2: Convert to fraction form
    91,729/187,346 = 187,346/x
  3. Step 3: Cross multiply
    91,729x = 187,346 × 187,346
  4. Step 4: Simplify right side
    91,729x = 35,098,523,716
  5. Step 5: Solve for x
    x = 35,098,523,716/91,729
  6. Step 6: Final answer
    x = 382,632.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.