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Finding the Third Proportional to 132,516 and 196,974

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Solution

The third proportional to 132,516 and 196,974 is: 292,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,516 : 196,974 = 196,974 : x
  2. Step 2: Convert to fraction form
    132,516/196,974 = 196,974/x
  3. Step 3: Cross multiply
    132,516x = 196,974 × 196,974
  4. Step 4: Simplify right side
    132,516x = 38,798,756,676
  5. Step 5: Solve for x
    x = 38,798,756,676/132,516
  6. Step 6: Final answer
    x = 292,785.45

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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.