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Finding the Third Proportional to 81,068 and 176,750

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Solution

The third proportional to 81,068 and 176,750 is: 385,362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,068 : 176,750 = 176,750 : x
  2. Step 2: Convert to fraction form
    81,068/176,750 = 176,750/x
  3. Step 3: Cross multiply
    81,068x = 176,750 × 176,750
  4. Step 4: Simplify right side
    81,068x = 31,240,562,500
  5. Step 5: Solve for x
    x = 31,240,562,500/81,068
  6. Step 6: Final answer
    x = 385,362.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.