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Finding the Third Proportional to 123,573 and 197,103

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Solution

The third proportional to 123,573 and 197,103 is: 314,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,573 : 197,103 = 197,103 : x
  2. Step 2: Convert to fraction form
    123,573/197,103 = 197,103/x
  3. Step 3: Cross multiply
    123,573x = 197,103 × 197,103
  4. Step 4: Simplify right side
    123,573x = 38,849,592,609
  5. Step 5: Solve for x
    x = 38,849,592,609/123,573
  6. Step 6: Final answer
    x = 314,385.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.