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Finding the Third Proportional to 68,896.13 and 97,513.88

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Solution

The third proportional to 68,896.13 and 97,513.88 is: 138,018.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,896.13 : 97,513.88 = 97,513.88 : x
  2. Step 2: Convert to fraction form
    68,896.13/97,513.88 = 97,513.88/x
  3. Step 3: Cross multiply
    68,896.13x = 97,513.88 × 97,513.88
  4. Step 4: Simplify right side
    68,896.13x = 9,508,955,817.52
  5. Step 5: Solve for x
    x = 9,508,955,817.52/68,896.13
  6. Step 6: Final answer
    x = 138,018.73

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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.