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Finding the Third Proportional to 42,753.94 and 98,965.13

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Solution

The third proportional to 42,753.94 and 98,965.13 is: 229,080.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,753.94 : 98,965.13 = 98,965.13 : x
  2. Step 2: Convert to fraction form
    42,753.94/98,965.13 = 98,965.13/x
  3. Step 3: Cross multiply
    42,753.94x = 98,965.13 × 98,965.13
  4. Step 4: Simplify right side
    42,753.94x = 9,794,095,966.27
  5. Step 5: Solve for x
    x = 9,794,095,966.27/42,753.94
  6. Step 6: Final answer
    x = 229,080.56

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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.