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Finding the Third Proportional to 61,514 and 100,446

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Solution

The third proportional to 61,514 and 100,446 is: 164,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,514 : 100,446 = 100,446 : x
  2. Step 2: Convert to fraction form
    61,514/100,446 = 100,446/x
  3. Step 3: Cross multiply
    61,514x = 100,446 × 100,446
  4. Step 4: Simplify right side
    61,514x = 10,089,398,916
  5. Step 5: Solve for x
    x = 10,089,398,916/61,514
  6. Step 6: Final answer
    x = 164,017.93

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.