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Finding the Third Proportional to 79,548 and 107,650

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Solution

The third proportional to 79,548 and 107,650 is: 145,679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,548 : 107,650 = 107,650 : x
  2. Step 2: Convert to fraction form
    79,548/107,650 = 107,650/x
  3. Step 3: Cross multiply
    79,548x = 107,650 × 107,650
  4. Step 4: Simplify right side
    79,548x = 11,588,522,500
  5. Step 5: Solve for x
    x = 11,588,522,500/79,548
  6. Step 6: Final answer
    x = 145,679.62

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.