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Finding the Third Proportional to 81,411.75 and 176,762.25

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Solution

The third proportional to 81,411.75 and 176,762.25 is: 383,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,411.75 : 176,762.25 = 176,762.25 : x
  2. Step 2: Convert to fraction form
    81,411.75/176,762.25 = 176,762.25/x
  3. Step 3: Cross multiply
    81,411.75x = 176,762.25 × 176,762.25
  4. Step 4: Simplify right side
    81,411.75x = 31,244,893,025.06
  5. Step 5: Solve for x
    x = 31,244,893,025.06/81,411.75
  6. Step 6: Final answer
    x = 383,788.50

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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.