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Finding the Third Proportional to 124,084 and 271,640

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Solution

The third proportional to 124,084 and 271,640 is: 594,664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,084 : 271,640 = 271,640 : x
  2. Step 2: Convert to fraction form
    124,084/271,640 = 271,640/x
  3. Step 3: Cross multiply
    124,084x = 271,640 × 271,640
  4. Step 4: Simplify right side
    124,084x = 73,788,289,600
  5. Step 5: Solve for x
    x = 73,788,289,600/124,084
  6. Step 6: Final answer
    x = 594,664.01

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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.