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Finding the Third Proportional to 103,654.69 and 146,642.91

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Solution

The third proportional to 103,654.69 and 146,642.91 is: 207,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,654.69 : 146,642.91 = 146,642.91 : x
  2. Step 2: Convert to fraction form
    103,654.69/146,642.91 = 146,642.91/x
  3. Step 3: Cross multiply
    103,654.69x = 146,642.91 × 146,642.91
  4. Step 4: Simplify right side
    103,654.69x = 21,504,141,953.45
  5. Step 5: Solve for x
    x = 21,504,141,953.45/103,654.69
  6. Step 6: Final answer
    x = 207,459.43

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.