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Finding the Third Proportional to 124,660 and 174,920

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Solution

The third proportional to 124,660 and 174,920 is: 245,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,660 : 174,920 = 174,920 : x
  2. Step 2: Convert to fraction form
    124,660/174,920 = 174,920/x
  3. Step 3: Cross multiply
    124,660x = 174,920 × 174,920
  4. Step 4: Simplify right side
    124,660x = 30,597,006,400
  5. Step 5: Solve for x
    x = 30,597,006,400/124,660
  6. Step 6: Final answer
    x = 245,443.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.