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Finding the Third Proportional to 116,781.19 and 174,561.75

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Solution

The third proportional to 116,781.19 and 174,561.75 is: 260,930.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,781.19 : 174,561.75 = 174,561.75 : x
  2. Step 2: Convert to fraction form
    116,781.19/174,561.75 = 174,561.75/x
  3. Step 3: Cross multiply
    116,781.19x = 174,561.75 × 174,561.75
  4. Step 4: Simplify right side
    116,781.19x = 30,471,804,563.06
  5. Step 5: Solve for x
    x = 30,471,804,563.06/116,781.19
  6. Step 6: Final answer
    x = 260,930.76

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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.