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Finding the Third Proportional to 81,373.50 and 176,126.63

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Solution

The third proportional to 81,373.50 and 176,126.63 is: 381,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,373.50 : 176,126.63 = 176,126.63 : x
  2. Step 2: Convert to fraction form
    81,373.50/176,126.63 = 176,126.63/x
  3. Step 3: Cross multiply
    81,373.50x = 176,126.63 × 176,126.63
  4. Step 4: Simplify right side
    81,373.50x = 31,020,588,033.89
  5. Step 5: Solve for x
    x = 31,020,588,033.89/81,373.50
  6. Step 6: Final answer
    x = 381,212.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.