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Finding the Third Proportional to 124,033 and 197,123

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Solution

The third proportional to 124,033 and 197,123 is: 313,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,033 : 197,123 = 197,123 : x
  2. Step 2: Convert to fraction form
    124,033/197,123 = 197,123/x
  3. Step 3: Cross multiply
    124,033x = 197,123 × 197,123
  4. Step 4: Simplify right side
    124,033x = 38,857,477,129
  5. Step 5: Solve for x
    x = 38,857,477,129/124,033
  6. Step 6: Final answer
    x = 313,283.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.