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Finding the Third Proportional to 116,622 and 171,208.13

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Solution

The third proportional to 116,622 and 171,208.13 is: 251,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,622 : 171,208.13 = 171,208.13 : x
  2. Step 2: Convert to fraction form
    116,622/171,208.13 = 171,208.13/x
  3. Step 3: Cross multiply
    116,622x = 171,208.13 × 171,208.13
  4. Step 4: Simplify right side
    116,622x = 29,312,222,066.02
  5. Step 5: Solve for x
    x = 29,312,222,066.02/116,622
  6. Step 6: Final answer
    x = 251,343.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.