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Finding the Third Proportional to 132,964 and 197,500

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Solution

The third proportional to 132,964 and 197,500 is: 293,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,964 : 197,500 = 197,500 : x
  2. Step 2: Convert to fraction form
    132,964/197,500 = 197,500/x
  3. Step 3: Cross multiply
    132,964x = 197,500 × 197,500
  4. Step 4: Simplify right side
    132,964x = 39,006,250,000
  5. Step 5: Solve for x
    x = 39,006,250,000/132,964
  6. Step 6: Final answer
    x = 293,359.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.