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Finding the Third Proportional to 112,971 and 240,954

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Solution

The third proportional to 112,971 and 240,954 is: 513,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,971 : 240,954 = 240,954 : x
  2. Step 2: Convert to fraction form
    112,971/240,954 = 240,954/x
  3. Step 3: Cross multiply
    112,971x = 240,954 × 240,954
  4. Step 4: Simplify right side
    112,971x = 58,058,830,116
  5. Step 5: Solve for x
    x = 58,058,830,116/112,971
  6. Step 6: Final answer
    x = 513,926.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.