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Finding the Third Proportional to 42,210 and 98,611

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Solution

The third proportional to 42,210 and 98,611 is: 230,375.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,210 : 98,611 = 98,611 : x
  2. Step 2: Convert to fraction form
    42,210/98,611 = 98,611/x
  3. Step 3: Cross multiply
    42,210x = 98,611 × 98,611
  4. Step 4: Simplify right side
    42,210x = 9,724,129,321
  5. Step 5: Solve for x
    x = 9,724,129,321/42,210
  6. Step 6: Final answer
    x = 230,375.01

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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.