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Finding the Third Proportional to 68,923.41 and 105,412.64

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Solution

The third proportional to 68,923.41 and 105,412.64 is: 161,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,923.41 : 105,412.64 = 105,412.64 : x
  2. Step 2: Convert to fraction form
    68,923.41/105,412.64 = 105,412.64/x
  3. Step 3: Cross multiply
    68,923.41x = 105,412.64 × 105,412.64
  4. Step 4: Simplify right side
    68,923.41x = 11,111,824,803.54
  5. Step 5: Solve for x
    x = 11,111,824,803.54/68,923.41
  6. Step 6: Final answer
    x = 161,219.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.