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Finding the Third Proportional to 124,281 and 175,689

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Solution

The third proportional to 124,281 and 175,689 is: 248,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,281 : 175,689 = 175,689 : x
  2. Step 2: Convert to fraction form
    124,281/175,689 = 175,689/x
  3. Step 3: Cross multiply
    124,281x = 175,689 × 175,689
  4. Step 4: Simplify right side
    124,281x = 30,866,624,721
  5. Step 5: Solve for x
    x = 30,866,624,721/124,281
  6. Step 6: Final answer
    x = 248,361.57

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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.