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Finding the Third Proportional to 124,038 and 271,718

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Solution

The third proportional to 124,038 and 271,718 is: 595,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,038 : 271,718 = 271,718 : x
  2. Step 2: Convert to fraction form
    124,038/271,718 = 271,718/x
  3. Step 3: Cross multiply
    124,038x = 271,718 × 271,718
  4. Step 4: Simplify right side
    124,038x = 73,830,671,524
  5. Step 5: Solve for x
    x = 73,830,671,524/124,038
  6. Step 6: Final answer
    x = 595,226.23

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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.