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Finding the Third Proportional to 68,795.06 and 147,762.94

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Solution

The third proportional to 68,795.06 and 147,762.94 is: 317,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,795.06 : 147,762.94 = 147,762.94 : x
  2. Step 2: Convert to fraction form
    68,795.06/147,762.94 = 147,762.94/x
  3. Step 3: Cross multiply
    68,795.06x = 147,762.94 × 147,762.94
  4. Step 4: Simplify right side
    68,795.06x = 21,833,885,698.63
  5. Step 5: Solve for x
    x = 21,833,885,698.63/68,795.06
  6. Step 6: Final answer
    x = 317,375.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.