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Finding the Third Proportional to 79,458 and 174,090

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Solution

The third proportional to 79,458 and 174,090 is: 381,425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,458 : 174,090 = 174,090 : x
  2. Step 2: Convert to fraction form
    79,458/174,090 = 174,090/x
  3. Step 3: Cross multiply
    79,458x = 174,090 × 174,090
  4. Step 4: Simplify right side
    79,458x = 30,307,328,100
  5. Step 5: Solve for x
    x = 30,307,328,100/79,458
  6. Step 6: Final answer
    x = 381,425.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.