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Finding the Third Proportional to 116,872.45 and 181,323.14

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Solution

The third proportional to 116,872.45 and 181,323.14 is: 281,315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,872.45 : 181,323.14 = 181,323.14 : x
  2. Step 2: Convert to fraction form
    116,872.45/181,323.14 = 181,323.14/x
  3. Step 3: Cross multiply
    116,872.45x = 181,323.14 × 181,323.14
  4. Step 4: Simplify right side
    116,872.45x = 32,878,081,326.11
  5. Step 5: Solve for x
    x = 32,878,081,326.11/116,872.45
  6. Step 6: Final answer
    x = 281,315.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.