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Finding the Third Proportional to 125,652 and 265,272

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Solution

The third proportional to 125,652 and 265,272 is: 560,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,652 : 265,272 = 265,272 : x
  2. Step 2: Convert to fraction form
    125,652/265,272 = 265,272/x
  3. Step 3: Cross multiply
    125,652x = 265,272 × 265,272
  4. Step 4: Simplify right side
    125,652x = 70,369,233,984
  5. Step 5: Solve for x
    x = 70,369,233,984/125,652
  6. Step 6: Final answer
    x = 560,032.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.