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Finding the Third Proportional to 97,106 and 132,894

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Solution

The third proportional to 97,106 and 132,894 is: 181,871.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,106 : 132,894 = 132,894 : x
  2. Step 2: Convert to fraction form
    97,106/132,894 = 132,894/x
  3. Step 3: Cross multiply
    97,106x = 132,894 × 132,894
  4. Step 4: Simplify right side
    97,106x = 17,660,815,236
  5. Step 5: Solve for x
    x = 17,660,815,236/97,106
  6. Step 6: Final answer
    x = 181,871.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.