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Finding the Third Proportional to 124,347 and 272,022

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Solution

The third proportional to 124,347 and 272,022 is: 595,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,347 : 272,022 = 272,022 : x
  2. Step 2: Convert to fraction form
    124,347/272,022 = 272,022/x
  3. Step 3: Cross multiply
    124,347x = 272,022 × 272,022
  4. Step 4: Simplify right side
    124,347x = 73,995,968,484
  5. Step 5: Solve for x
    x = 73,995,968,484/124,347
  6. Step 6: Final answer
    x = 595,076.43

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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.