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Finding the Third Proportional to 116,130.38 and 169,713.56

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Solution

The third proportional to 116,130.38 and 169,713.56 is: 248,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,130.38 : 169,713.56 = 169,713.56 : x
  2. Step 2: Convert to fraction form
    116,130.38/169,713.56 = 169,713.56/x
  3. Step 3: Cross multiply
    116,130.38x = 169,713.56 × 169,713.56
  4. Step 4: Simplify right side
    116,130.38x = 28,802,693,296.44
  5. Step 5: Solve for x
    x = 28,802,693,296.44/116,130.38
  6. Step 6: Final answer
    x = 248,020.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.