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Finding the Third Proportional to 124,212 and 272,082

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Solution

The third proportional to 124,212 and 272,082 is: 595,986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,212 : 272,082 = 272,082 : x
  2. Step 2: Convert to fraction form
    124,212/272,082 = 272,082/x
  3. Step 3: Cross multiply
    124,212x = 272,082 × 272,082
  4. Step 4: Simplify right side
    124,212x = 74,028,614,724
  5. Step 5: Solve for x
    x = 74,028,614,724/124,212
  6. Step 6: Final answer
    x = 595,986.01

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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.