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Finding the Third Proportional to 124,184 and 269,971

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Solution

The third proportional to 124,184 and 269,971 is: 586,906.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,184 : 269,971 = 269,971 : x
  2. Step 2: Convert to fraction form
    124,184/269,971 = 269,971/x
  3. Step 3: Cross multiply
    124,184x = 269,971 × 269,971
  4. Step 4: Simplify right side
    124,184x = 72,884,340,841
  5. Step 5: Solve for x
    x = 72,884,340,841/124,184
  6. Step 6: Final answer
    x = 586,906.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.