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Finding the Third Proportional to 115,042.50 and 176,596.31

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Solution

The third proportional to 115,042.50 and 176,596.31 is: 271,084.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,042.50 : 176,596.31 = 176,596.31 : x
  2. Step 2: Convert to fraction form
    115,042.50/176,596.31 = 176,596.31/x
  3. Step 3: Cross multiply
    115,042.50x = 176,596.31 × 176,596.31
  4. Step 4: Simplify right side
    115,042.50x = 31,186,257,588.60
  5. Step 5: Solve for x
    x = 31,186,257,588.60/115,042.50
  6. Step 6: Final answer
    x = 271,084.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.