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Finding the Third Proportional to 124,971 and 269,625

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Solution

The third proportional to 124,971 and 269,625 is: 581,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,971 : 269,625 = 269,625 : x
  2. Step 2: Convert to fraction form
    124,971/269,625 = 269,625/x
  3. Step 3: Cross multiply
    124,971x = 269,625 × 269,625
  4. Step 4: Simplify right side
    124,971x = 72,697,640,625
  5. Step 5: Solve for x
    x = 72,697,640,625/124,971
  6. Step 6: Final answer
    x = 581,716.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.