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Finding the Third Proportional to 122,933 and 265,549

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Solution

The third proportional to 122,933 and 265,549 is: 573,615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,933 : 265,549 = 265,549 : x
  2. Step 2: Convert to fraction form
    122,933/265,549 = 265,549/x
  3. Step 3: Cross multiply
    122,933x = 265,549 × 265,549
  4. Step 4: Simplify right side
    122,933x = 70,516,271,401
  5. Step 5: Solve for x
    x = 70,516,271,401/122,933
  6. Step 6: Final answer
    x = 573,615.48

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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.