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Finding the Third Proportional to 124,792 and 193,960

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Solution

The third proportional to 124,792 and 193,960 is: 301,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,792 : 193,960 = 193,960 : x
  2. Step 2: Convert to fraction form
    124,792/193,960 = 193,960/x
  3. Step 3: Cross multiply
    124,792x = 193,960 × 193,960
  4. Step 4: Simplify right side
    124,792x = 37,620,481,600
  5. Step 5: Solve for x
    x = 37,620,481,600/124,792
  6. Step 6: Final answer
    x = 301,465.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.