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Finding the Third Proportional to 81,852.75 and 176,827.50

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Solution

The third proportional to 81,852.75 and 176,827.50 is: 382,002.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,852.75 : 176,827.50 = 176,827.50 : x
  2. Step 2: Convert to fraction form
    81,852.75/176,827.50 = 176,827.50/x
  3. Step 3: Cross multiply
    81,852.75x = 176,827.50 × 176,827.50
  4. Step 4: Simplify right side
    81,852.75x = 31,267,964,756.25
  5. Step 5: Solve for x
    x = 31,267,964,756.25/81,852.75
  6. Step 6: Final answer
    x = 382,002.62

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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.