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Finding the Third Proportional to 78,797 and 175,090

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Solution

The third proportional to 78,797 and 175,090 is: 389,056.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,797 : 175,090 = 175,090 : x
  2. Step 2: Convert to fraction form
    78,797/175,090 = 175,090/x
  3. Step 3: Cross multiply
    78,797x = 175,090 × 175,090
  4. Step 4: Simplify right side
    78,797x = 30,656,508,100
  5. Step 5: Solve for x
    x = 30,656,508,100/78,797
  6. Step 6: Final answer
    x = 389,056.79

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.