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Finding the Third Proportional to 116,967.38 and 177,913.13

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Solution

The third proportional to 116,967.38 and 177,913.13 is: 270,614.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,967.38 : 177,913.13 = 177,913.13 : x
  2. Step 2: Convert to fraction form
    116,967.38/177,913.13 = 177,913.13/x
  3. Step 3: Cross multiply
    116,967.38x = 177,913.13 × 177,913.13
  4. Step 4: Simplify right side
    116,967.38x = 31,653,080,047.27
  5. Step 5: Solve for x
    x = 31,653,080,047.27/116,967.38
  6. Step 6: Final answer
    x = 270,614.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.