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Finding the Third Proportional to 97,929 and 132,129

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Solution

The third proportional to 97,929 and 132,129 is: 178,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,929 : 132,129 = 132,129 : x
  2. Step 2: Convert to fraction form
    97,929/132,129 = 132,129/x
  3. Step 3: Cross multiply
    97,929x = 132,129 × 132,129
  4. Step 4: Simplify right side
    97,929x = 17,458,072,641
  5. Step 5: Solve for x
    x = 17,458,072,641/97,929
  6. Step 6: Final answer
    x = 178,272.76

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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.