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Finding the Third Proportional to 65,134.50 and 97,857

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Solution

The third proportional to 65,134.50 and 97,857 is: 147,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,134.50 : 97,857 = 97,857 : x
  2. Step 2: Convert to fraction form
    65,134.50/97,857 = 97,857/x
  3. Step 3: Cross multiply
    65,134.50x = 97,857 × 97,857
  4. Step 4: Simplify right side
    65,134.50x = 9,575,992,449
  5. Step 5: Solve for x
    x = 9,575,992,449/65,134.50
  6. Step 6: Final answer
    x = 147,018.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.