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Finding the Third Proportional to 98,911 and 157,256

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Solution

The third proportional to 98,911 and 157,256 is: 250,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,911 : 157,256 = 157,256 : x
  2. Step 2: Convert to fraction form
    98,911/157,256 = 157,256/x
  3. Step 3: Cross multiply
    98,911x = 157,256 × 157,256
  4. Step 4: Simplify right side
    98,911x = 24,729,449,536
  5. Step 5: Solve for x
    x = 24,729,449,536/98,911
  6. Step 6: Final answer
    x = 250,017.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.