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Finding the Third Proportional to 61,606 and 96,623

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Solution

The third proportional to 61,606 and 96,623 is: 151,543.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,606 : 96,623 = 96,623 : x
  2. Step 2: Convert to fraction form
    61,606/96,623 = 96,623/x
  3. Step 3: Cross multiply
    61,606x = 96,623 × 96,623
  4. Step 4: Simplify right side
    61,606x = 9,336,004,129
  5. Step 5: Solve for x
    x = 9,336,004,129/61,606
  6. Step 6: Final answer
    x = 151,543.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.