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Finding the Third Proportional to 73,883.50 and 153,022

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Solution

The third proportional to 73,883.50 and 153,022 is: 316,927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,883.50 : 153,022 = 153,022 : x
  2. Step 2: Convert to fraction form
    73,883.50/153,022 = 153,022/x
  3. Step 3: Cross multiply
    73,883.50x = 153,022 × 153,022
  4. Step 4: Simplify right side
    73,883.50x = 23,415,732,484
  5. Step 5: Solve for x
    x = 23,415,732,484/73,883.50
  6. Step 6: Final answer
    x = 316,927.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.