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Finding the Third Proportional to 59,042 and 124,753

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Solution

The third proportional to 59,042 and 124,753 is: 263,597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,042 : 124,753 = 124,753 : x
  2. Step 2: Convert to fraction form
    59,042/124,753 = 124,753/x
  3. Step 3: Cross multiply
    59,042x = 124,753 × 124,753
  4. Step 4: Simplify right side
    59,042x = 15,563,311,009
  5. Step 5: Solve for x
    x = 15,563,311,009/59,042
  6. Step 6: Final answer
    x = 263,597.29

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.