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Finding the Third Proportional to 74,816.47 and 164,171.18

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Solution

The third proportional to 74,816.47 and 164,171.18 is: 360,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,816.47 : 164,171.18 = 164,171.18 : x
  2. Step 2: Convert to fraction form
    74,816.47/164,171.18 = 164,171.18/x
  3. Step 3: Cross multiply
    74,816.47x = 164,171.18 × 164,171.18
  4. Step 4: Simplify right side
    74,816.47x = 26,952,176,239.99
  5. Step 5: Solve for x
    x = 26,952,176,239.99/74,816.47
  6. Step 6: Final answer
    x = 360,243.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.