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Finding the Third Proportional to 114,141.66 and 162,240.47

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Solution

The third proportional to 114,141.66 and 162,240.47 is: 230,607.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,141.66 : 162,240.47 = 162,240.47 : x
  2. Step 2: Convert to fraction form
    114,141.66/162,240.47 = 162,240.47/x
  3. Step 3: Cross multiply
    114,141.66x = 162,240.47 × 162,240.47
  4. Step 4: Simplify right side
    114,141.66x = 26,321,969,700.22
  5. Step 5: Solve for x
    x = 26,321,969,700.22/114,141.66
  6. Step 6: Final answer
    x = 230,607.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.