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Finding the Third Proportional to 124,932 and 197,654

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Solution

The third proportional to 124,932 and 197,654 is: 312,706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,932 : 197,654 = 197,654 : x
  2. Step 2: Convert to fraction form
    124,932/197,654 = 197,654/x
  3. Step 3: Cross multiply
    124,932x = 197,654 × 197,654
  4. Step 4: Simplify right side
    124,932x = 39,067,103,716
  5. Step 5: Solve for x
    x = 39,067,103,716/124,932
  6. Step 6: Final answer
    x = 312,706.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.