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Finding the Third Proportional to 81,491.63 and 176,548.50

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Solution

The third proportional to 81,491.63 and 176,548.50 is: 382,485.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,491.63 : 176,548.50 = 176,548.50 : x
  2. Step 2: Convert to fraction form
    81,491.63/176,548.50 = 176,548.50/x
  3. Step 3: Cross multiply
    81,491.63x = 176,548.50 × 176,548.50
  4. Step 4: Simplify right side
    81,491.63x = 31,169,372,852.25
  5. Step 5: Solve for x
    x = 31,169,372,852.25/81,491.63
  6. Step 6: Final answer
    x = 382,485.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.