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Finding the Third Proportional to 105,724.41 and 161,935.88

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Solution

The third proportional to 105,724.41 and 161,935.88 is: 248,033.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,724.41 : 161,935.88 = 161,935.88 : x
  2. Step 2: Convert to fraction form
    105,724.41/161,935.88 = 161,935.88/x
  3. Step 3: Cross multiply
    105,724.41x = 161,935.88 × 161,935.88
  4. Step 4: Simplify right side
    105,724.41x = 26,223,227,612.02
  5. Step 5: Solve for x
    x = 26,223,227,612.02/105,724.41
  6. Step 6: Final answer
    x = 248,033.81

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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.