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Finding the Third Proportional to 73,878.75 and 153,012.38

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Solution

The third proportional to 73,878.75 and 153,012.38 is: 316,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,878.75 : 153,012.38 = 153,012.38 : x
  2. Step 2: Convert to fraction form
    73,878.75/153,012.38 = 153,012.38/x
  3. Step 3: Cross multiply
    73,878.75x = 153,012.38 × 153,012.38
  4. Step 4: Simplify right side
    73,878.75x = 23,412,786,903.14
  5. Step 5: Solve for x
    x = 23,412,786,903.14/73,878.75
  6. Step 6: Final answer
    x = 316,908.27

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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.