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Finding the Third Proportional to 116,573.63 and 177,139.13

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Solution

The third proportional to 116,573.63 and 177,139.13 is: 269,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,573.63 : 177,139.13 = 177,139.13 : x
  2. Step 2: Convert to fraction form
    116,573.63/177,139.13 = 177,139.13/x
  3. Step 3: Cross multiply
    116,573.63x = 177,139.13 × 177,139.13
  4. Step 4: Simplify right side
    116,573.63x = 31,378,269,605.77
  5. Step 5: Solve for x
    x = 31,378,269,605.77/116,573.63
  6. Step 6: Final answer
    x = 269,171.26

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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.