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Finding the Third Proportional to 117,523 and 253,747

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Solution

The third proportional to 117,523 and 253,747 is: 547,871.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,523 : 253,747 = 253,747 : x
  2. Step 2: Convert to fraction form
    117,523/253,747 = 253,747/x
  3. Step 3: Cross multiply
    117,523x = 253,747 × 253,747
  4. Step 4: Simplify right side
    117,523x = 64,387,540,009
  5. Step 5: Solve for x
    x = 64,387,540,009/117,523
  6. Step 6: Final answer
    x = 547,871.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.