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Finding the Third Proportional to 124,313 and 272,137

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Solution

The third proportional to 124,313 and 272,137 is: 595,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,313 : 272,137 = 272,137 : x
  2. Step 2: Convert to fraction form
    124,313/272,137 = 272,137/x
  3. Step 3: Cross multiply
    124,313x = 272,137 × 272,137
  4. Step 4: Simplify right side
    124,313x = 74,058,546,769
  5. Step 5: Solve for x
    x = 74,058,546,769/124,313
  6. Step 6: Final answer
    x = 595,742.58

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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.