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Finding the Third Proportional to 77,234.50 and 123,346

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Solution

The third proportional to 77,234.50 and 123,346 is: 196,987.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,234.50 : 123,346 = 123,346 : x
  2. Step 2: Convert to fraction form
    77,234.50/123,346 = 123,346/x
  3. Step 3: Cross multiply
    77,234.50x = 123,346 × 123,346
  4. Step 4: Simplify right side
    77,234.50x = 15,214,235,716
  5. Step 5: Solve for x
    x = 15,214,235,716/77,234.50
  6. Step 6: Final answer
    x = 196,987.56

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.