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Finding the Third Proportional to 65,016 and 88,308

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Solution

The third proportional to 65,016 and 88,308 is: 119,944.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,016 : 88,308 = 88,308 : x
  2. Step 2: Convert to fraction form
    65,016/88,308 = 88,308/x
  3. Step 3: Cross multiply
    65,016x = 88,308 × 88,308
  4. Step 4: Simplify right side
    65,016x = 7,798,302,864
  5. Step 5: Solve for x
    x = 7,798,302,864/65,016
  6. Step 6: Final answer
    x = 119,944.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.