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Finding the Third Proportional to 124,324.88 and 197,164.13

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Solution

The third proportional to 124,324.88 and 197,164.13 is: 312,678.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,324.88 : 197,164.13 = 197,164.13 : x
  2. Step 2: Convert to fraction form
    124,324.88/197,164.13 = 197,164.13/x
  3. Step 3: Cross multiply
    124,324.88x = 197,164.13 × 197,164.13
  4. Step 4: Simplify right side
    124,324.88x = 38,873,692,187.02
  5. Step 5: Solve for x
    x = 38,873,692,187.02/124,324.88
  6. Step 6: Final answer
    x = 312,678.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.