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Finding the Third Proportional to 122,842 and 265,076

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Solution

The third proportional to 122,842 and 265,076 is: 571,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,842 : 265,076 = 265,076 : x
  2. Step 2: Convert to fraction form
    122,842/265,076 = 265,076/x
  3. Step 3: Cross multiply
    122,842x = 265,076 × 265,076
  4. Step 4: Simplify right side
    122,842x = 70,265,285,776
  5. Step 5: Solve for x
    x = 70,265,285,776/122,842
  6. Step 6: Final answer
    x = 571,997.25

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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.