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Finding the Third Proportional to 123,881 and 265,252

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Solution

The third proportional to 123,881 and 265,252 is: 567,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,881 : 265,252 = 265,252 : x
  2. Step 2: Convert to fraction form
    123,881/265,252 = 265,252/x
  3. Step 3: Cross multiply
    123,881x = 265,252 × 265,252
  4. Step 4: Simplify right side
    123,881x = 70,358,623,504
  5. Step 5: Solve for x
    x = 70,358,623,504/123,881
  6. Step 6: Final answer
    x = 567,953.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.