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Finding the Third Proportional to 61,263 and 131,913

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Solution

The third proportional to 61,263 and 131,913 is: 284,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,263 : 131,913 = 131,913 : x
  2. Step 2: Convert to fraction form
    61,263/131,913 = 131,913/x
  3. Step 3: Cross multiply
    61,263x = 131,913 × 131,913
  4. Step 4: Simplify right side
    61,263x = 17,401,039,569
  5. Step 5: Solve for x
    x = 17,401,039,569/61,263
  6. Step 6: Final answer
    x = 284,038.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.