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Finding the Third Proportional to 62,010 and 131,918

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Solution

The third proportional to 62,010 and 131,918 is: 280,637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,010 : 131,918 = 131,918 : x
  2. Step 2: Convert to fraction form
    62,010/131,918 = 131,918/x
  3. Step 3: Cross multiply
    62,010x = 131,918 × 131,918
  4. Step 4: Simplify right side
    62,010x = 17,402,358,724
  5. Step 5: Solve for x
    x = 17,402,358,724/62,010
  6. Step 6: Final answer
    x = 280,637.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.