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Finding the Third Proportional to 42,206.50 and 98,604

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Solution

The third proportional to 42,206.50 and 98,604 is: 230,361.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,206.50 : 98,604 = 98,604 : x
  2. Step 2: Convert to fraction form
    42,206.50/98,604 = 98,604/x
  3. Step 3: Cross multiply
    42,206.50x = 98,604 × 98,604
  4. Step 4: Simplify right side
    42,206.50x = 9,722,748,816
  5. Step 5: Solve for x
    x = 9,722,748,816/42,206.50
  6. Step 6: Final answer
    x = 230,361.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.