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Finding the Third Proportional to 124,740 and 175,680

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Solution

The third proportional to 124,740 and 175,680 is: 247,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,740 : 175,680 = 175,680 : x
  2. Step 2: Convert to fraction form
    124,740/175,680 = 175,680/x
  3. Step 3: Cross multiply
    124,740x = 175,680 × 175,680
  4. Step 4: Simplify right side
    124,740x = 30,863,462,400
  5. Step 5: Solve for x
    x = 30,863,462,400/124,740
  6. Step 6: Final answer
    x = 247,422.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.