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Finding the Third Proportional to 68,892.75 and 97,509

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Solution

The third proportional to 68,892.75 and 97,509 is: 138,011.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,892.75 : 97,509 = 97,509 : x
  2. Step 2: Convert to fraction form
    68,892.75/97,509 = 97,509/x
  3. Step 3: Cross multiply
    68,892.75x = 97,509 × 97,509
  4. Step 4: Simplify right side
    68,892.75x = 9,508,005,081
  5. Step 5: Solve for x
    x = 9,508,005,081/68,892.75
  6. Step 6: Final answer
    x = 138,011.69

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.