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Finding the Third Proportional to 84,568 and 97,852

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Solution

The third proportional to 84,568 and 97,852 is: 113,222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,568 : 97,852 = 97,852 : x
  2. Step 2: Convert to fraction form
    84,568/97,852 = 97,852/x
  3. Step 3: Cross multiply
    84,568x = 97,852 × 97,852
  4. Step 4: Simplify right side
    84,568x = 9,575,013,904
  5. Step 5: Solve for x
    x = 9,575,013,904/84,568
  6. Step 6: Final answer
    x = 113,222.66

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.