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Finding the Third Proportional to 61,024 and 131,412

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Solution

The third proportional to 61,024 and 131,412 is: 282,988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,024 : 131,412 = 131,412 : x
  2. Step 2: Convert to fraction form
    61,024/131,412 = 131,412/x
  3. Step 3: Cross multiply
    61,024x = 131,412 × 131,412
  4. Step 4: Simplify right side
    61,024x = 17,269,113,744
  5. Step 5: Solve for x
    x = 17,269,113,744/61,024
  6. Step 6: Final answer
    x = 282,988.89

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Why These Related Problems?

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