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Finding the Third Proportional to 29,903 and 61,753

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Solution

The third proportional to 29,903 and 61,753 is: 127,526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,903 : 61,753 = 61,753 : x
  2. Step 2: Convert to fraction form
    29,903/61,753 = 61,753/x
  3. Step 3: Cross multiply
    29,903x = 61,753 × 61,753
  4. Step 4: Simplify right side
    29,903x = 3,813,433,009
  5. Step 5: Solve for x
    x = 3,813,433,009/29,903
  6. Step 6: Final answer
    x = 127,526.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.