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Finding the Third Proportional to 98,642 and 150,420

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Solution

The third proportional to 98,642 and 150,420 is: 229,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,642 : 150,420 = 150,420 : x
  2. Step 2: Convert to fraction form
    98,642/150,420 = 150,420/x
  3. Step 3: Cross multiply
    98,642x = 150,420 × 150,420
  4. Step 4: Simplify right side
    98,642x = 22,626,176,400
  5. Step 5: Solve for x
    x = 22,626,176,400/98,642
  6. Step 6: Final answer
    x = 229,376.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.