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Finding the Third Proportional to 117,517.50 and 176,536.13

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Solution

The third proportional to 117,517.50 and 176,536.13 is: 265,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,517.50 : 176,536.13 = 176,536.13 : x
  2. Step 2: Convert to fraction form
    117,517.50/176,536.13 = 176,536.13/x
  3. Step 3: Cross multiply
    117,517.50x = 176,536.13 × 176,536.13
  4. Step 4: Simplify right side
    117,517.50x = 31,165,003,430.02
  5. Step 5: Solve for x
    x = 31,165,003,430.02/117,517.50
  6. Step 6: Final answer
    x = 265,194.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.