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Finding the Third Proportional to 117,513.50 and 179,024.50

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Solution

The third proportional to 117,513.50 and 179,024.50 is: 272,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,513.50 : 179,024.50 = 179,024.50 : x
  2. Step 2: Convert to fraction form
    117,513.50/179,024.50 = 179,024.50/x
  3. Step 3: Cross multiply
    117,513.50x = 179,024.50 × 179,024.50
  4. Step 4: Simplify right side
    117,513.50x = 32,049,771,600.25
  5. Step 5: Solve for x
    x = 32,049,771,600.25/117,513.50
  6. Step 6: Final answer
    x = 272,732.68

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.