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Finding the Third Proportional to 117,713 and 179,289.50

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Solution

The third proportional to 117,713 and 179,289.50 is: 273,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,713 : 179,289.50 = 179,289.50 : x
  2. Step 2: Convert to fraction form
    117,713/179,289.50 = 179,289.50/x
  3. Step 3: Cross multiply
    117,713x = 179,289.50 × 179,289.50
  4. Step 4: Simplify right side
    117,713x = 32,144,724,810.25
  5. Step 5: Solve for x
    x = 32,144,724,810.25/117,713
  6. Step 6: Final answer
    x = 273,077.10

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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.