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Finding the Third Proportional to 124,088 and 271,648

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Solution

The third proportional to 124,088 and 271,648 is: 594,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,088 : 271,648 = 271,648 : x
  2. Step 2: Convert to fraction form
    124,088/271,648 = 271,648/x
  3. Step 3: Cross multiply
    124,088x = 271,648 × 271,648
  4. Step 4: Simplify right side
    124,088x = 73,792,635,904
  5. Step 5: Solve for x
    x = 73,792,635,904/124,088
  6. Step 6: Final answer
    x = 594,679.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.