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Finding the Third Proportional to 116,976.75 and 174,685.13

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Solution

The third proportional to 116,976.75 and 174,685.13 is: 260,862.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,976.75 : 174,685.13 = 174,685.13 : x
  2. Step 2: Convert to fraction form
    116,976.75/174,685.13 = 174,685.13/x
  3. Step 3: Cross multiply
    116,976.75x = 174,685.13 × 174,685.13
  4. Step 4: Simplify right side
    116,976.75x = 30,514,892,896.27
  5. Step 5: Solve for x
    x = 30,514,892,896.27/116,976.75
  6. Step 6: Final answer
    x = 260,862.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.