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Finding the Third Proportional to 65,622 and 96,971

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Solution

The third proportional to 65,622 and 96,971 is: 143,296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,622 : 96,971 = 96,971 : x
  2. Step 2: Convert to fraction form
    65,622/96,971 = 96,971/x
  3. Step 3: Cross multiply
    65,622x = 96,971 × 96,971
  4. Step 4: Simplify right side
    65,622x = 9,403,374,841
  5. Step 5: Solve for x
    x = 9,403,374,841/65,622
  6. Step 6: Final answer
    x = 143,296.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.