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Finding the Third Proportional to 97,924 and 132,123

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Solution

The third proportional to 97,924 and 132,123 is: 178,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,924 : 132,123 = 132,123 : x
  2. Step 2: Convert to fraction form
    97,924/132,123 = 132,123/x
  3. Step 3: Cross multiply
    97,924x = 132,123 × 132,123
  4. Step 4: Simplify right side
    97,924x = 17,456,487,129
  5. Step 5: Solve for x
    x = 17,456,487,129/97,924
  6. Step 6: Final answer
    x = 178,265.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.