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Finding the Third Proportional to 68,078 and 97,852

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Solution

The third proportional to 68,078 and 97,852 is: 140,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,078 : 97,852 = 97,852 : x
  2. Step 2: Convert to fraction form
    68,078/97,852 = 97,852/x
  3. Step 3: Cross multiply
    68,078x = 97,852 × 97,852
  4. Step 4: Simplify right side
    68,078x = 9,575,013,904
  5. Step 5: Solve for x
    x = 9,575,013,904/68,078
  6. Step 6: Final answer
    x = 140,647.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.