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Finding the Third Proportional to 132,103 and 176,965

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Solution

The third proportional to 132,103 and 176,965 is: 237,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,103 : 176,965 = 176,965 : x
  2. Step 2: Convert to fraction form
    132,103/176,965 = 176,965/x
  3. Step 3: Cross multiply
    132,103x = 176,965 × 176,965
  4. Step 4: Simplify right side
    132,103x = 31,316,611,225
  5. Step 5: Solve for x
    x = 31,316,611,225/132,103
  6. Step 6: Final answer
    x = 237,062.07

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.