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Finding the Third Proportional to 98,724 and 150,939.75

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Solution

The third proportional to 98,724 and 150,939.75 is: 230,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,724 : 150,939.75 = 150,939.75 : x
  2. Step 2: Convert to fraction form
    98,724/150,939.75 = 150,939.75/x
  3. Step 3: Cross multiply
    98,724x = 150,939.75 × 150,939.75
  4. Step 4: Simplify right side
    98,724x = 22,782,808,130.06
  5. Step 5: Solve for x
    x = 22,782,808,130.06/98,724
  6. Step 6: Final answer
    x = 230,772.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.