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Finding the Third Proportional to 73,564.50 and 163,785

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Solution

The third proportional to 73,564.50 and 163,785 is: 364,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,564.50 : 163,785 = 163,785 : x
  2. Step 2: Convert to fraction form
    73,564.50/163,785 = 163,785/x
  3. Step 3: Cross multiply
    73,564.50x = 163,785 × 163,785
  4. Step 4: Simplify right side
    73,564.50x = 26,825,526,225
  5. Step 5: Solve for x
    x = 26,825,526,225/73,564.50
  6. Step 6: Final answer
    x = 364,653.14

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.