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Finding the Third Proportional to 42,741 and 98,937.50

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Solution

The third proportional to 42,741 and 98,937.50 is: 229,021.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,741 : 98,937.50 = 98,937.50 : x
  2. Step 2: Convert to fraction form
    42,741/98,937.50 = 98,937.50/x
  3. Step 3: Cross multiply
    42,741x = 98,937.50 × 98,937.50
  4. Step 4: Simplify right side
    42,741x = 9,788,628,906.25
  5. Step 5: Solve for x
    x = 9,788,628,906.25/42,741
  6. Step 6: Final answer
    x = 229,021.99

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.