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Finding the Third Proportional to 42,482 and 98,749

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Solution

The third proportional to 42,482 and 98,749 is: 229,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,482 : 98,749 = 98,749 : x
  2. Step 2: Convert to fraction form
    42,482/98,749 = 98,749/x
  3. Step 3: Cross multiply
    42,482x = 98,749 × 98,749
  4. Step 4: Simplify right side
    42,482x = 9,751,365,001
  5. Step 5: Solve for x
    x = 9,751,365,001/42,482
  6. Step 6: Final answer
    x = 229,541.10

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.